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The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are

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The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 600 feet apart and 60 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 150 feet from the center of the bridge?

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