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