A man is moving away from a tower 41.6 m high at a rate of 2 m/s

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A man is moving away from a tower 41.6 m high at a rate of 2 m/s. If the eye level of the man is 1.6 m above the ground, then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30 m from the foot of the tower, is (a) −4125 rad/s-\frac{4}{125}\,\text{rad/s} (b) −225 rad/s-\frac{2}{25}\,\text{rad/s} (c) −1625 rad/s-\frac{1}{625}\,\text{rad/s} (d) none of these

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