A suspension bridge with weight uniformly distributed along its length has twin towers that extend 70 meters above the road surface and are 400 meters apart. The cables are parabolic in shape and are...

A suspension bridge with weight uniformly distributed along its length has twin towers that extend

meters above the road surface and are

meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point

meters from the center.