A spotlight is located on level ground 12 ft from a vertical wall

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

Problem

A spotlight is located on level ground 12 ft from a vertical wall. The light rotates at a constant angular speed of 0.20 rad/s, sweeping its beam across the wall. Find the speed (in ft/s) at which the point of light moves along the wall at the instant when the beam makes a 45° angle with the ground.

Related theory

Browse the problem library