To find the horizontal distance from the base of the tower to where the zip line ends, we can use trigonometry.
Let x be the horizontal distance from the base of the tower to where the zip line ends.
We can use the tangent function to find x:
tan(65°) = opposite/adjacent = 120/x
Rearrange the equation to solve for x:
x = 120/tan(65°)
Using a calculator, we find:
x ≈ 120/1.4663 ≈ 81.86
Therefore, the horizontal distance from the base of the tower to where the zip line ends is approximately 81.86 feet.
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?
3 answers
options are:
56 ft.
51 ft.
132 ft.
257 ft.
56 ft.
51 ft.
132 ft.
257 ft.
what is the answer, based on the options?
1 answer