Hello!
Because the image creates a right triangle, we can use the Pythagorean Theorem to calculate the length of the zip line. The Pythagorean Theorem states the following:
c² = a² + b²
In this case, C represents the hypotenuse (zip line) while A and B represent the other two sides. Insert any known values into the formula above:
c² = (198)² + (40)²
Simplify the right side of the equation and combine like terms:
c² = (39204) + (1600)
c² = 40804
Now take the square root of both sides:
c = 202
We have now proven that the zip line is 202 feet in length.
I hope this helps!