Question

A zipline starts 25 feet off the ground and has an angle of elevation of 27°
27
°
. What is the horizontal distance the zipline will cover, x?(1 point)
Responses

x=29.38 ft.
𝑥
=
29.38
ft.

x equals 29.38 ft.

x=49.07 ft.
𝑥
=
49.07
ft.

x equals 49.07 ft.

x=12.74 ft.
𝑥
=
12.74
ft.

x equals 12.74 ft.

x=135.10 ft.

Answer 1

Use tan(θ) = opposite / adjacent. Here opposite = 25 ft and θ = 27°, so

x = 25 / tan(27°) ≈ 25 / 0.5096 ≈ 49.07 ft.

Answer: x = 49.07 ft.