103:@0.911172:0.510692:0.939532:0.510692:0.939532:0.494068:0.911172:0.494068:0.000000:0.000000:0.000000
Tema:@0.916772:0.135475:0.952904:0.135475:0.952904:0.113749:0.916772:0.113749:0.000000:0.000000:0.000000:0.000000
M.4.2.17. Resolver y plantear problemas que involucren triángulos rectángulos en contextos reales, e interpretar y juzgar la validez de las soluciones obtenidas :@0.130375:0.069719:0.882791:0.069719:0.882791:0.059289:0.130375:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro del contexto del problema.:@0.130375:0.080280:0.290922:0.080280:0.290922:0.069851:0.130375:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas sobre triángulos rectángulos:@0.119762:0.141978:0.713701:0.141978:0.713701:0.101242:0.119762:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para una misma situación, el ángulo de elevación es igual al ángulo de depresión.:@0.120878:0.501257:0.716564:0.501257:0.716564:0.484868:0.120878:0.484868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver problemas que involucren triángulos rectángulos, se siguen los siguientes pasos::@0.120878:0.521422:0.807539:0.521422:0.807539:0.505033:0.120878:0.505033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1) :@0.120878:0.552277:0.140116:0.552277:0.140116:0.535376:0.120878:0.535376:0.000000:0.000000:0.000000
  Leer bien el problema, identificar los datos e incógnitas.:@0.140116:0.552277:0.554933:0.552277:0.554933:0.535888:0.140116:0.535888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2):@0.120878:0.579564:0.136302:0.579564:0.136302:0.562664:0.120878:0.562664:0.000000:0.000000
   Realizar un gráfico (triángulo rectángulo) con los elementos conocidos y desconocidos.:@0.136302:0.579564:0.787750:0.579564:0.787750:0.563175:0.136302:0.563175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3):@0.120878:0.606851:0.136302:0.606851:0.136302:0.589951:0.120878:0.589951:0.000000:0.000000
   Resolver el triángulo rectángulo.:@0.136302:0.606851:0.384645:0.606851:0.384645:0.590462:0.136302:0.590462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.120878:0.643087:0.278000:0.643087:0.278000:0.624650:0.120878:0.624650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos :@0.120878:0.662932:0.216222:0.662932:0.216222:0.646308:0.120878:0.646308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el siguiente problema::@0.216222:0.662932:0.379747:0.662932:0.379747:0.646543:0.216222:0.646543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se desea alcanzar una pared de 6 metros de altura colocando una escalera en un ángulo de 60º con la :@0.120878:0.683097:0.888960:0.683097:0.888960:0.666708:0.120878:0.666708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horizontal como indica la figura. ¿Cuál debe ser la longitud de la escalera?:@0.120878:0.699693:0.659604:0.699693:0.659604:0.683304:0.120878:0.683304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve:@0.752237:0.249617:0.814203:0.249617:0.814203:0.234504:0.752237:0.234504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.814203:0.249617:0.817871:0.249617:0.817871:0.234718:0.814203:0.234718:0.000000
los ejercicios :@0.752237:0.264705:0.839984:0.264705:0.839984:0.249806:0.752237:0.249806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propuestos en el :@0.752237:0.279792:0.867693:0.279792:0.867693:0.264893:0.752237:0.264893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.752237:0.294880:0.799010:0.294880:0.799010:0.279981:0.752237:0.279981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.691848:0.230184:0.711817:0.230184:0.711817:0.208458:0.691848:0.208458:0.000000:0.000000:0.000000
mayedu.ec/ctm9/p103:@0.687129:0.327039:0.838552:0.327039:0.838552:0.311914:0.687129:0.311914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.917811:0.122645:0.951865:0.122645:0.951865:0.065614:0.917811:0.065614:0.000000:0.000000
Los triángulos están presentes en muchas actividades del hombre: la geometría, la arquitectura, la :@0.120878:0.167757:0.888649:0.167757:0.888649:0.151368:0.120878:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
navegación, la física, etc. Es así que podemos encontrar varios problemas cotidianos que se resuelven :@0.120878:0.184353:0.888592:0.184353:0.888592:0.167964:0.120878:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante la aplicación del teorema de Pitágoras y las relaciones trigonométricas.:@0.120878:0.200949:0.712451:0.200949:0.712451:0.184560:0.120878:0.184560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A más de los elementos que revisamos en los temas anteriores, es :@0.120878:0.224198:0.627146:0.224198:0.627146:0.207809:0.120878:0.207809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesario conocer lo siguiente::@0.120878:0.240795:0.348345:0.240795:0.348345:0.224406:0.120878:0.224406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al observar un objeto hacia arriba, se forma un ángulo llamado  :@0.120878:0.260959:0.627140:0.260959:0.627140:0.244570:0.120878:0.244570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de elevación entre el plano horizontal y la línea de visión hacia el :@0.120878:0.277555:0.627160:0.277555:0.627160:0.261167:0.120878:0.261167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objeto.:@0.120878:0.294152:0.173102:0.294152:0.173102:0.277763:0.120878:0.277763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si es de arriba hacia abajo, se forma un ángulo de depresión entre el :@0.120878:0.314316:0.627122:0.314316:0.627122:0.297928:0.120878:0.297928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plano horizontal y la línea de visión hacia el objeto.:@0.120878:0.330913:0.502625:0.330913:0.502625:0.314524:0.120878:0.314524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos:@0.129576:0.747015:0.212942:0.747015:0.212942:0.730391:0.129576:0.730391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el triángulo que grafique el problema :@0.212942:0.747015:0.508501:0.747015:0.508501:0.730626:0.212942:0.730626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con los datos e incógnitas.:@0.129576:0.763612:0.323082:0.763612:0.323082:0.747223:0.129576:0.747223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para efectuar las operaciones :@0.129576:0.783776:0.346135:0.783776:0.346135:0.767387:0.129576:0.767387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleamos:@0.346135:0.783776:0.436468:0.783776:0.436468:0.767152:0.346135:0.767152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una :@0.436468:0.783776:0.472567:0.783776:0.472567:0.767387:0.436468:0.767387:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora.:@0.129576:0.800373:0.217181:0.800373:0.217181:0.783984:0.129576:0.783984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos :@0.129576:0.843509:0.225160:0.843509:0.225160:0.826885:0.129576:0.826885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el  triángulo aplicando  la  función :@0.233415:0.843509:0.508512:0.843509:0.508512:0.827120:0.233415:0.827120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométrica que involucre a la incógnita. En el :@0.129576:0.860106:0.508464:0.860106:0.508464:0.843717:0.129576:0.843717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo formado :@0.129576:0.876702:0.268557:0.876702:0.268557:0.860313:0.129576:0.860313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos:@0.269386:0.876702:0.336850:0.876702:0.336850:0.860078:0.269386:0.860078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 como datos el ángulo :@0.336850:0.876702:0.508522:0.876702:0.508522:0.860313:0.336850:0.860313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.504467:0.876702:0.508503:0.876702:0.508503:0.860313:0.504467:0.860313:0.000000
y su cateto opuesto; la incógnita es la hipotenusa, :@0.129576:0.893299:0.508485:0.893299:0.508485:0.876910:0.129576:0.876910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por lo tanto,:@0.129576:0.909895:0.218966:0.909895:0.218966:0.893506:0.129576:0.893506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 usamos:@0.218966:0.909895:0.281989:0.909895:0.281989:0.893271:0.218966:0.893271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función seno.:@0.281989:0.909895:0.400974:0.909895:0.400974:0.893506:0.281989:0.893506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 577630750:@0.905019:0.913425:0.905019:0.801827:0.891123:0.801827:0.891123:0.913425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Línea de vista:@0.677941:0.445560:0.732343:0.391378:0.716489:0.382411:0.662087:0.436594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Línea horizontal:@0.595664:0.360819:0.702343:0.360819:0.702343:0.345920:0.595664:0.345920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Objeto:@0.618163:0.471323:0.664349:0.471323:0.664349:0.456424:0.618163:0.456424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo de depresión:@0.571122:0.377327:0.711958:0.377327:0.711958:0.362428:0.571122:0.362428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observador:@0.743152:0.367181:0.821602:0.367181:0.821602:0.352282:0.743152:0.352282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Línea de vista:@0.268018:0.434540:0.322420:0.380357:0.306566:0.371391:0.252164:0.425574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Línea horizontal:@0.281061:0.465980:0.387740:0.465980:0.387740:0.451081:0.281061:0.451081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Objeto:@0.354805:0.360819:0.400990:0.360819:0.400990:0.345920:0.354805:0.345920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo de elevación:@0.274360:0.450729:0.412096:0.450729:0.412096:0.435830:0.274360:0.435830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observador:@0.166742:0.456449:0.245192:0.456449:0.245192:0.441550:0.166742:0.441550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.716514:0.823634:0.725510:0.823634:0.725510:0.808760:0.716514:0.808760:0.000000
6 m:@0.626805:0.769369:0.651733:0.769369:0.651733:0.754470:0.626805:0.754470:0.000000:0.000000:0.000000
60º:@0.744792:0.803857:0.766788:0.803857:0.766788:0.788958:0.744792:0.788958:0.000000:0.000000:0.000000
C:@0.724120:0.721906:0.733133:0.721906:0.733133:0.707032:0.724120:0.707032:0.000000
x:@0.760573:0.769859:0.767358:0.769859:0.767358:0.754985:0.760573:0.754985:0.000000
B:@0.787812:0.823634:0.795854:0.823634:0.795854:0.808760:0.787812:0.808760:0.000000
sen:@0.532054:0.852937:0.555733:0.852937:0.555733:0.836575:0.532054:0.836575:0.000000:0.000000:0.000000
 (60º) = :@0.555733:0.852937:0.612785:0.852937:0.612785:0.836548:0.555733:0.836548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 6  :@0.612783:0.846545:0.633164:0.846545:0.633164:0.830156:0.612783:0.830156:0.000000:0.000000:0.000000:0.000000
 :@0.625812:0.846545:0.629129:0.846545:0.629129:0.830183:0.625812:0.830183:0.000000
 x :@0.612783:0.861426:0.626881:0.861426:0.626881:0.845065:0.612783:0.845065:0.000000:0.000000:0.000000
x:@0.532052:0.877995:0.539515:0.877995:0.539515:0.861633:0.532052:0.861633:0.000000
 = :@0.539515:0.877995:0.558569:0.877995:0.558569:0.861606:0.539515:0.861606:0.000000:0.000000:0.000000
 :@0.558571:0.871421:0.562607:0.871421:0.562607:0.855033:0.558571:0.855033:0.000000
      :@0.562607:0.871421:0.582508:0.871421:0.582508:0.855060:0.562607:0.855060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6     :@0.582508:0.871421:0.611679:0.871421:0.611679:0.855033:0.582508:0.855033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.611679:0.871421:0.614996:0.871421:0.614996:0.855060:0.611679:0.855060:0.000000
sen:@0.558571:0.886303:0.582251:0.886303:0.582251:0.869942:0.558571:0.869942:0.000000:0.000000:0.000000
(60º):@0.582251:0.886303:0.616213:0.886303:0.616213:0.869914:0.582251:0.869914:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.616817:0.877991:0.635872:0.877991:0.635872:0.861602:0.616817:0.861602:0.000000:0.000000:0.000000
  6  :@0.635872:0.871421:0.666922:0.871421:0.666922:0.855033:0.635872:0.855033:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.639907:0.871421:0.649858:0.871421:0.649858:0.855060:0.639907:0.855060:0.000000:0.000000:0.000000
0,87:@0.635872:0.886303:0.666056:0.886303:0.666056:0.869914:0.635872:0.869914:0.000000:0.000000:0.000000:0.000000
 :@0.686149:0.877991:0.690185:0.877991:0.690185:0.861602:0.686149:0.861602:0.000000
x:@0.532057:0.905278:0.539520:0.905278:0.539520:0.888917:0.532057:0.888917:0.000000
 = 6,89 m:@0.539520:0.905278:0.607887:0.905278:0.607887:0.888889:0.539520:0.888889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000