A light source is fixed at the top of a 45 ft pole on level ground

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

Problem

A light source is fixed at the top of a 45 ft pole on level ground. A hot-air balloon rises vertically at 5 ft/s from a point 30 ft from the base of the pole. Determine the speed (in ft/s) at which the tip of the balloon’s shadow is moving along the ground at the moment the balloon is 20 ft above the ground.

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