Joel is zip lining in the mountains. if the vertical distance from his platform to the next platform is 304 yards and the angle of depression is 21 degrees, find the length of the zipline

848.3 yards

Step-by-step explanation:

If Joel were to draw a diagram of his zipline, he would see that it is the hypotenuse of a right triangle with a leg of length 304 yards opposite the angle of 21 degrees. The sine relation comes into play when these values are given:

Sin = Opposite/Hypotenuse

The hypotenuse can be found as ...

Hypotenuse = Opposite/Sin

zipline length = (304 yd) / sin (21°)

zipline length ≈ 848.3 yd