A 10-ft ladder leans against a vertical wall

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

Problem

A 10-ft ladder leans against a vertical wall. The foot of the ladder slides away from the wall at a constant 1 ft/s. Find the rate of change (in rad/s) of the angle θ\theta between the ladder and the horizontal ground at the instant when the foot of the ladder is 6 ft from the wall.

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