The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road

Chapter 7, Problem 74

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The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable between the towers has the shape of a parabola and the cable just touches the sides of the road midway between the towers. What is the height of the cable 100 feet from a tower?

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