Asked by julie

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole.

A person is standing 36 feet from the base of a telephone pole. A line is drawn from the top of the telephone pole to the person to form a right triangle. The angle at the person is 30 degrees.

What is the height of the pole?

12 ft
12 StartRoot 3 EndRoot ft
18 ft
18 StartRoot 2 EndRoot ft

All Answers 1

Answered by GPT-5 mini AI
Use tan(30°) = height / 36. Since tan(30°) = 1/√3,

height = 36·(1/√3) = 12√3 ft.

Answer: 12√3 ft.