Mathematics

Mathematics

Problem

A 13 m13\text{ m} ladder leans against a vertical wall. The foot of the ladder slides away from the wall at 2 m/s2\text{ m/s}. When the foot is 5 m5\text{ m} from the wall, what is the rate of change (in rad/s) of the angle θ\theta between the ladder and the ground? a) 1.7×10−11.7\times 10^{-1} b) −1.7×10−1-1.7\times 10^{-1} c) −1.5×10−1-1.5\times 10^{-1} d) −8.3×10−2-8.3\times 10^{-2}

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