A 2-meter-tall pedestrian walks away from a lamppost at 1 m/s along a straight sidewalk

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

Problem

A 2-meter-tall pedestrian walks away from a lamppost at 1 m/s along a straight sidewalk. At the moment when the pedestrian’s shadow is 3 m long, the shadow is lengthening at a rate of 0.5 m/s. What is the height (in meters) of the lamppost? (a) 44 (b) 33 (c) 66 (d) 55

Related theory

Browse the problem library