The cables of a suspension bridge are in the shape of a para

The cables of a suspension bridge are in the shape of a parabola. 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?

Solution

x² = 4ay

350² = 4a(100) => a = 1225/4

=> x² = 1225y

=> 175² = 1225y

y = 25 feet