Mathematics

Mathematics

Problem

A fire hose passes over the edge of a 15-ft vertical retaining wall and is being reeled in on level ground on the opposite side of the wall. The portion of hose outside the wall forms a straight segment from the top of the wall to the reel. If the hose is being pulled in at a constant rate of 3 ft/s3\text{ ft/s}, how fast is the reel moving horizontally toward the wall at the instant when 25 ft25\text{ ft} of hose remain outside the wall? a) 3.75 ft/s3.75\text{ ft/s} b) −3.00 ft/s-3.00\text{ ft/s} c) −3.75 ft/s-3.75\text{ ft/s} d) −2.40 ft/s-2.40\text{ ft/s}

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