A -tall photographer stands on level ground from an adjustable spotlight

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

Problem

1.8\,\text{m}

-tall photographer stands on level ground

8\,\text{m}

from an adjustable spotlight. The spotlight is currently

5\,\text{m}

above the ground and is being lowered at a rate of

0.10\,\text{m/s}

. At the same instant, the photographer is backing away from the light at

1.2\,\text{m/s}

. At that moment, what is the rate of change (in m/s) of the length of the photographer’s shadow on the ground? (a)

1.13

(b)

0.53

(c)

0.82

(d)

0.68