(20 points) The cables of a suspension bridge are in the sha…

(20 points) The cables of a suspension bridge are in the shape of a​ parabola, as shown in the figure. The towers supporting the cable are 300 feet apart and 20 feet high. If the cables touch the road surface midway between the​ towers, what is the height of the cable at a point 75 feet from the center of the​ bridge?