Un árbol ha sido partido por un rayo en dos partes formando un triangulo rectángulo la parte superior del árbol forma con la horizontal un ángulo de 36 grados mientras que la pa…

Question

asked May 6, 2020 145k views

1 Answer

Lili · Answer 1 · 2020-05-11T14:00:56+0000

Answer:

13,506 m

Explanation:

Applying the trigonometric relation between opposite leg and hypotenuse

$sin(\alpha)=(Op)/(h)$

isolating the variable
$sin(\alpha)=(Op)/(h) \longrightarrow h=(Op)/(sin(\alpha))\longrightarrow h=(5m)/(sin(36^o))=8,506m$

the total height is the sum to the hypotenuse and the opposite leg

h_(total)=hypotenuse+h=8,506m+5m=13,505m