Mathematics

Problem

A 15-ft ladder slides so that its foot moves away from a vertical wall at 3 ft/s. What is the rate of change of the angle

\theta

between the ladder and the ground when the foot of the ladder is 9 ft from the wall? a)

-\dfrac{1}{6}\text{ rad/s}

+\dfrac{1}{4}\text{ rad/s}

-\dfrac{1}{4}\text{ rad/s}

-\dfrac{1}{3}\text{ rad/s}