Solved: The George Washington Bridge spans the Hudson
Chapter 13, Problem 13.1.317(choose chapter or problem)
The George Washington Bridge spans the Hudson River from New York to New Jersey. Its two towers are 3500 feet apart and rise 316 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. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The point (1750, 316) lies on the parabola, as shown. a. Write an equation in the form y ax2 for the parabolic cable. Do this by substituting 1750 for x and 316 for y and determining the value of a. b. Use the equation in part (a) to find the height of the cable 1000 feet from a tower. Round to the nearest foot.
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