A ladder rests against a vertical wall

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

Problem

13\text{-ft}

ladder rests against a vertical wall. The top of the ladder is sliding down the wall at a constant rate of

2\text{ ft/s}

. At the instant when the top of the ladder is

5\text{ ft}

above the ground, how fast is the foot of the ladder moving away from the wall? (a)

\dfrac{24}{5}\text{ ft/s}

(b)

-\dfrac{5}{6}\text{ ft/s}

(c)

\dfrac{5}{6}\text{ ft/s}

(d)

\dfrac{5}{4}\text{ ft/s}