A zip line cable is 220 ft long and the gym is 100 ft wide and 160 fee long how tall would the gym be to be able to contain the zip line cable

Question

A zip line company wants to put a zipline course in the middle of a gym.  The company’s zip line cable is 220 ft long.  If the gym is 100 ft wide and 160 ft long, how tall would the gym have to be to be able to contain the zip line cable?

Answer 1

160² + b² = 220²

25,600 + b² = 48,400

b² = 22,800

b ≈ 151 ft