A floodlight is located on the ground 3 ft from a vertical wall; the bulb is 4 ft…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A floodlight is located on the ground 3 ft from a vertical wall; the bulb is 4 ft above the ground. A 5-ft-tall person walks toward the wall at 2 ft/s along a straight path perpendicular to the wall. When the person is 4 ft from the wall, how fast, in ft/s, is the height of the person’s shadow on the wall changing?

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