A -ft ladder rests against a vertical wall

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

Problem

13

-ft ladder rests against a vertical wall. The foot of the ladder slides away from the wall at

5\text{ ft/s}

. How fast is the top of the ladder sliding down the wall at the instant when the foot is

12\text{ ft}

from the wall? (a)

12\text{ ft/s}

(b)

-5\text{ ft/s}

(c)

-12\text{ ft/s}

(d)

-\dfrac{25}{12}\text{ ft/s}