A ladder leans against a vertical wall

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

15\,\text{ft}

ladder leans against a vertical wall, forming an angle

\theta

with the ground. The bottom of the ladder slides away from the wall at

2\,\text{ft/s}

. Calculate

\frac{d\theta}{dt}

, in radians per second, when the bottom of the ladder is

9\,\text{ft}

from the wall.