A surveyor is standing 30 feet from the base of a tall building. The surveyor measures the angle of elevation from the ground to the top of the building to be 65°. Find the height h of the building to the nearest foot.

We will use the tangent ratio since we have the adjacent side to the 65 degrees and we need to find the opposite side to the 65 degrees.

Tan α = opp/adj

Tan 65 = x/30

To solve, multiply both sides by 30.

30 Tan65 = x

x = 64 ft