Question

PLEASE HELP!!!! A man is in a tree house 12ft above the ground. He is looking at the top of another tree that is 45ft tall. The base of the trees are 25ft apart. What is the angle of elevation from the man's feet to the top of the tree? Round to the nearest degree.

Answer 1

C.) 53°

Explanation:

We have a right triangle with base of 25 (the distance apart) and (45-12 = 33) for the height. We want to find the angle of elevation.

tan angle = opposite side/ adjacent side

tan angle = 33/25

Take the inverse tan of each side

tan ^-1 (tan angle) = tan ^ -1 (33/25)

angle = 52.8533133

Rounding to the nearest degree

angle = 53 degrees