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 56 ft. 56 ft. 257 ft. 257 ft. 51 ft. 51 ft. 132 ft. 132 ft.
To find the horizontal distance, we need to find the adjacent side of the angle of elevation triangle.
Let's call the horizontal distance x.
Using trigonometry, we know that the adjacent side is the adjacent side (x) divided by the cosine of the angle of elevation (65°).
So, x = 120 feet / cos(65°).
Using a calculator, we find that the cosine of 65° is approximately 0.422.
Therefore, x = 120 feet / 0.422.
Simplifying, we have x ≈ 284.36 feet.
So, the horizontal distance from the base of the tower to where the zip line ends is approximately 284.36 feet.
None of the provided answer choices match this result.