The height of an adjustable streetlight is increasing at 0.10 m/s

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The height H(t)H(t) of an adjustable streetlight is increasing at 0.10 m/s. Simultaneously, a 1.7 m-tall pedestrian is walking directly away from the base of the streetlight at 1.3 m/s and is 8 m from the base. If the streetlight is 5 m tall at that instant, determine the rate of change (in m/s) of the length of the pedestrian’s shadow.

Related theory

Browse the problem library