Repeat Exercise 133 for a suspension bridge that has 100-foot towers, a length of 200 feet, and a cable that comes within 15 feet of the road at the center of the bridge.

Data from Exercise 133

If the weight of the deck and the cars is significantly greater than weight of the cables supporting a suspension bridge, such as the Golden Gate Bridge, then the shape of these cables can be modeled by parabolas. (If a cable without any additional weight is suspended between two towers, then this cable assumes a different shape called a catenary.) Suppose that a 300-foot-long suspension bridge has at each end a tower that is 120 feet tall, as shown in the figure. If the cable comes within 20 feet of the road at the center of the bridge, find a function that models the height of the cable above the road a distance of x feet from the center of the bridge.

Transcribed Image Text:

20 ft 300 ft- 120 ft