A ladder leans against a vertical wall

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

Problem

13\text{ m}

ladder leans against a vertical wall. The foot of the ladder slides away from the wall at

2\text{ m/s}

. When the foot is

5\text{ m}

from the wall, what is the rate of change (in rad/s) of the angle

\theta

between the ladder and the ground? (a)

1.7\times 10^{-1}

(b)

-1.7\times 10^{-1}

(c)

-1.5\times 10^{-1}

(d)

-8.3\times 10^{-2}