Question

A man who is 2 meters tall stands on level ground. He is 32 meters from the base of a tree. The angle of elevation of the top of the tree from his line of sight is 25 degrees. Which equation can be used to solve for the height of the tree? (h = height of the tree)

Answer 1

h = 16.92 m

Explanation:

If you mean to man horizontal line of sight then the height of the tree is:

h = 2m + x

x is one right side and second is distance from the base of a tree 32m.

Tangence in this right triangle is:

tan 25° = x / 32 => x = 32 · tan 25° = 32 · 0.4663 = 14.92m

h = 2 + 14.92 = 16.92m

God with you!!!