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Length of a curve

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Suspension bridge. The cable of the suspension bridge shown in the accompanying figure hangs in the shape of a parabola with the equation , where x and y are in meters. What is the height of each tower above the roadway? What is the length of z for the cable bracing the tower?

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This solution is comprised of a detailed explanation to answer what is the height of each tower above the roadway and the length of z for the cable bracing the tower.

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For each of the towers, x = 20
Therefore, y = 0.0375*202 = 15 m
Therefore, the height of each ...

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