A -ft ladder is leaning against a vertical wall

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

Problem

13

-ft ladder is leaning against a vertical wall. The foot of the ladder slides away from the wall at a constant rate of

5\,\text{ft/s}

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

12

ft from the wall? (a)

-\dfrac{60}{13}\,\text{ft/s}

(b)

12\,\text{ft/s}

(c)

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

(d)

-12\,\text{ft/s}