As shown, an electrical cable hangs freely between power masts of an office building and a...

As shown, an electrical cable hangs freely between power masts of an office building and a warehouse. The masts are at the same elevation and are spaced 60 ft apart. The cable has a uniformly distributed weight of 2 lb/ft. Tension force in a cable is limited to a maximum of 100 lb. Determine the minimum height the masts must be to maintain a ground clearance of 24 ft.