Question

Imagine you are standing 20 feet away from a tree that is 80 feet tall. The angle that your feet make with the top of the tree is

Answer 1

`75.96^o`

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

`tan(A)=(BC)/(AC)` ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

`tan(A)=(80)/(20)`

using a calculator

`m\angle A=tan^(-1)((80)/(20))=75.96^o`