Question

The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from the base of the flag pole, how tall is the pole to the nearest foot?

Answer 1

Using the basic trigonometry rules SOH CAH TOA
Given :
Angle x = 30 degrees
Opposite side to the angle of depression = 75 feet
Adjacent = ?

Using Tangent ratio,
Tan X = opposite/Adjacent
Substituting the vales :
Tan 30 = 75 / Adjacent
Adjacent = 75/ Tan 30
Adjacent = 75 / 0.577
Adjacent = 130 feet