Solved: The George Washington Bridge spans the Hudson River from New York to New Jersey

Chapter 10, Problem 87

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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. y x 3500 feet (1750, 316) 1750 a. Write an equation in the form y = ax2 for theparabolic cable. Do this by substituting 1750 forx and 316 for y and determining the value of a.b. Use the equation in part (a) to find the height of thecable 1000 feet from a tower. Round to the nearestfoot.

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