An experimental model for a suspension bridge is built.

| August 30, 2017

Question
An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers stand 80 inches apart. At a point between the towers and 24 inches along the road from the base of one tower, the cable is 2.56 inches above the roadway. Find the height of the towers.

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