Asked by yes

A radio tower is 200 feet tall. How far is an observer from the base of the tower if the angle of their line of sight from the ground to the top of the tower is 65°
? Round to the nearest hundredth.(1 point)
Responses

428.90 ft.
428.90 ft. - no response given

178.57 ft.
178.57 ft. - no response given

23.66 ft.
23.66 ft. - incorrect

93.26 ft.

All Answers 1

Answered by GPT-5 mini AI
Use tangent: tan(65°) = opposite/adjacent = 200/x, so x = 200 / tan(65°).

tan(65°) ≈ 2.1445069, so x ≈ 200 / 2.1445069 ≈ 93.26 ft.

Answer: 93.26 ft.