The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge it supports. Suppose the cable hangs, following the shape of a parabola, with its lowest point 20 m above the bridge. How high is the cable 120 m away from a tower?

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Q: 80 ft 150 ft 600 ft

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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.