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The cable in the center portion of a bridge is supported as shown in the figure to form a parabola. The center support is 10 feet high, the tallest supports are 210 feet high, and the distance between the two tallest supports is 400 feet. Find the height of the remaining supports if the supports are evenly spaced. (Ignore the width of the supports.)

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Brad

  1. With no diagram, I am left to guess that the height of the center parabola is 200.
    So I guess that we have the following points on the curve;

    (-200,0), (0,200),(200,0)

    So, clearly y=400-ax^2
    Since y(200)=0, a=1/00

    Thus, the height of the support at x=h is 210-y(h)

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    Steve

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