Refer to the diagram shown below.
Let x = the length of the zip line.
One side of the ravine is 85 feet tall and the other side is 197 feet tall.
The difference in height is
197 - 85 = 112 feet, as shown in the figure.
Apply the Pythagorean theorem to the right triangular portion of the figure.
x² = 15² + 112²
= 12769
x = √(12769)
= 113 ft
Answer: The length of the zip line is 113 feet.
