To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then with a transit 8 feet tall measures the angle of elevation to the top of the pole to be 36° to the nearest foot what is the height of the pole?

Question

A. 87 feet

B. 95 feet

C. 71 feet

D. 79 feet

Answer 1

To find the height of the pole, we can use trigonometry.

Let x be the height of the pole.
Using the tangent function:
tan(36°) = x / 120 feet
x = 120 feet * tan(36°)
x ≈ 87 feet

Therefore, the height of the pole is approximately 87 feet.

The answer is A. 87 feet.