A 1.8-meter-tall hiker walks away from a 5-meter-tall trail light at a constant speed…

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

Problem

A 1.8-meter-tall hiker walks away from a 5-meter-tall trail light at a constant speed of 1.2 m/s. When the hiker is 10 m from the base of the light, what is the speed (in m/s) of the tip of the hiker’s shadow? (a) 1.631.63 (b) 2.402.40 (c) 1.881.88 (d) 1.971.97

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