Right Triangle Trigonometry

Question

When I stand 29 feet away from a tree at home, the angle of elevation to the top of the tree is 45º and the angle of depression to the base of the tree is 8º. What is the height of the tree? Round your answer to the nearest foot.

Answer 1

Draw and label a diagram

Calculate the height of the tree in two parts, top and bottom

h_top / 29 = tan 45°

h_bottom / 29 = tan 8°

Can you calculate the two heights and answer?