Question

A zipline cable is attached to two platforms 1000 ft apart at an angle of depression from the taller platform of 12°. What is the length of the cable, rounded to the nearest foot? 1000 ft 20 ft​

Answer 1

We can use trigonometry to solve this problem.

A is the taller platform, B is the shorter platform, and x is the length of the zipline cable that we want to find.

We can see that the angle between the horizontal and the zipline cable is 12 degrees, so we can use the tangent function to find x:

Therefore, the length of the zipline cable, rounded to the nearest foot, is 209 ft.