The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two towers 4200 ft apart. The tops of the towers are 500 ft above the roadway. Assuming that the cables are parabolic and are at road level halfway between the towers, find the height of the cables 1000 ft from the center of the bridge. Round to the nearest foot.

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A:

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A: Consider the given triangle:

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A: To find the distance between camera and foot of pedestal.

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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.