A 2 m tall pedestrian is walking away from a 10 m tall lamppost

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

Problem

A 2 m tall pedestrian is walking away from a 10 m tall lamppost. When the tip of the pedestrian’s shadow is moving at

6\text{ m/s}

, how fast (in meters per second) is the pedestrian walking? (a)

3.0

(b)

4.8

(c)

1.2

(d)

5.0