Each cable of a Suspension Bridge is shape like an ellipse between two towers that are 2600 meters apart. The top of each tower is
200 meters above the roadway. The cables touch the roadway at the midpoint between the towers.
a) Write an equation for the bridge.

b) Find the height of the suspension cables at a distance 600 feet from the center of the bridge.
c) How far from the center of the bridge is a cable that is 100 feet tall (from the roadway to the main cable)?