Question

monica is standing in a building looking out a window at a tree the tree is 121 feet away from monica monica line of sight to the top of the tree creates a 42 degree angle of depression. what is the height of the tree rounded to the nearest tenth

Answer 1

89.9 feets

Explanation:

The diagrammatic representation of the problem is attached below.

The height, h of the tree can be calculated using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 42 = h / 121

0.7431448 = h / 121

Height, h of tree = 121 * 0.7431448

Height = 89.9 feets