You are standing 42 feet away from a tree. Your line of sight is 5 feet from the ground. If you measure the angle of elevation to the top of the tree to be 43∘, how tall is the tree?

Answer: the height of the tree is

44.165 feet

Step-by-step explanation:

A right angle triangle is formed by the height of the tree, your angle of elevation and distance from the tree.

Your distance from the tree represents the adjacent side of the right angle triangle.

The height of the tree from your line of sight represents the opposite side of the right angle triangle.

To determine the height of the tree,

we would apply the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 43 = h/42

h = 42Tan43 = 42 * 0.9325

h = 39.165

The total height of the tree is

39.165 + 5 = 44.165 feet