katherineic0709
katherineic0709 katherineic0709
  • 25-07-2019
  • Mathematics
contestada

A cierta hora del dia los rayos solares forman un angulo de 60° con el suelo. ¿Que sombra dara el arbol de 7 m de altura? Auxilioooooo por favorecer help!!

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-07-2019

Answer:

4.04 m

Step-by-step explanation:

El arbol y el suelo forman un angulo de 90°. Son los catetos de un triangulo rectangulo.

Los rayos solares forman un angulo de 60° con el suelo y forman la hipotenusa del triangulo.

Se tiene un triangulo rectangulo de angulos de 30°-60°-90°.

En este genero de triangulo, el cateto mayor mide [tex] \sqrt{3} [/tex] veces el cateto menor.

cateto menor = [tex] \dfrac{7}{\sqrt{3}} [/tex]

[tex] = \dfrac{7\sqrt{3}}{3} [/tex]

[tex] = 4.04 ~m [/tex]

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