(Solution) - The main cables of a suspension bridge typically hang in -(2025 Original AI-Free Solution)

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The main cables of a suspension bridge typically hang in the shape of parallel parabolas on both sides of the roadway. The vertical support cables, labeled a-k, are equally spaced, and the center of the parabolic cable touches the roadway at f. If this bridge has a span of 160 ft between towers, and the towers reach a height of 75 ft above the road, what is the length of each support cable, a-k? What is the total length of vertical support cable needed for the portion of the bridge between the two towers?