The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 700 feet apart and 100 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 175 feet from the center of the bridge? The cable is feet from the road surface at a point 175 feet from the center of the bridge.

(Simplify your answer.)