The Mast-top Problem

A ship has two masts, 25 ft tall and 50 ft apart. A 100 ft rope the two ends of which are fastened to the top of these masts, is pulled taut as shown in above fig. Assuming this rope has lost no length being fastened to the masta, and remains in the same plane at the masts, which is the distance at which it touches the deck forward of one mast?

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