The cable of suspension bridge hangs in the shape of a parabola. The towers supporting the caple are 400ft apart and 150ft high. If the caple, at its lowest, is 30ft above the bridge at its midpoint,...

The cable of suspension bridge hangs in the shape of a parabola. The towers supporting the caple are 400ft apart and 150ft high. If the caple, at its lowest, is 30ft above the bridge at its midpoint, how high is the cable 50 ft away (horizontally) from either tower