A rotating spotlight is located 100 m from a straight wall and sweeps its beam so…

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

Problem

A rotating spotlight is located 100 m from a straight wall and sweeps its beam so that the angle θ\theta (in radians) between the beam and the perpendicular to the wall is changing at a constant rate of 0.02 rad/s. Determine the speed, in m/s, at which the spot of light moves along the wall at the instant θ=30∘\theta = 30^{\circ}.

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