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Parabola Application Word Problem : Suspension Bridge

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A suspension bridge is built with its cable hanging between two vertical towers in the form of a parabola. The towers are 400 feet apart and rise 100 feet above the horizontal roadway, while the center points of the cable is 10 feet above the roadway. (a) Find the equations of the parabola (b) Find the height above the roadway of a point 50 feet from the center of the span.

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Solution Summary

The equation of a parabola and y-coordinate are found.

Solution Preview

Let the vertical line passing through the center point of the cable be the y-axis. Let the horizontal line be the x-axis. Then the center point is (0,10). The towers are 400 feet apart, then their ...

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