A 13-ft ladder rests against a vertical wall

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

Problem

A 13-ft ladder rests against a vertical wall. The foot of the ladder is sliding away from the wall at 4\,ft/s. When the foot is 5\,ft from the wall, what is the rate of change of the angle θ\theta between the ladder and the ground (in rad/s)? (a) −45-\dfrac{4}{5} (b) 13\dfrac{1}{3} (c) −13-\dfrac{1}{3} (d) −48169-\dfrac{48}{169}

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