The cable of a suspension bridge hang in the shape of parabola the tower supporting the cable or 400 ft apart and 150 ft high. if the cable ,at its lowest, is 30 ft above the bridge at its midpoint ,how high is the cable 50 ft away (horizontally) from either tower ?

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A: For the solution follow the next steps.

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.