Trigonometric Ratios Word Problem

Question

If point A is 54 feet from the tree, and the angle between the ground at point A and the top of the tree is 25 degrees, find the height of the tree.

Answer 1

Hi Ceejay,

 

This forms a right triangle with one of the sides being 54 ft and the other side the height of the tree, h. 25 degree angle is across from the side representing tree height. Then, we can write

tan(25 deg) = h / 54

h = 25.2 ft (rounded to the nearest tenth)