A 13-ft ladder leans against a vertical wall

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

Problem

A 13-ft ladder leans against a vertical wall. The foot of the ladder slides horizontally away from the wall at

3\ \text{ft/s}

when the foot is

5\ \text{ft}

from the wall. Determine the instantaneous vertical speed (include sign and units) of the top of the ladder at that moment.