Question

A zipline starts 120
feet above the ground and covers a diagonal distance, forming a triangle with the ground. If the angle of elevation where the zip line meets the ground is 65°
, what is the horizontal distance from the base of the tower to where the zip line ends?(1 point)
Responses

132 ft.

132 ft.


56 ft.

56 ft.


257 ft.

257 ft.


51 ft.

Answer 1

Let x be the horizontal distance. Using tan(65°) = opposite/adjacent = 120/x, so

x = 120 / tan(65°) ≈ 120 / 2.1445 ≈ 56 ft.

Answer: 56 ft.