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)

Question

56 ft.
257 ft.
51 ft.
132 ft.

Answer 1

To find the horizontal distance from the base of the tower to where the zip line ends, we can use the trigonometric function tangent.

Let x be the horizontal distance from the base of the tower to where the zip line ends.

We can set up the following equation:

tan(65°) = x / 120

Solving for x:

x = tan(65°) * 120

Using a calculator, we find:

x ≈ 257 ft.

Therefore, the horizontal distance from the base of the tower to where the zip line ends is approximately 257 ft.