A 9 ft high portable spotlight is being wheeled toward a 6 ft tall sign at a constant…

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

Problem

A 9 ft high portable spotlight is being wheeled toward a 6 ft tall sign at a constant rate of 1 ft/s along level ground. At the instant when the spotlight is 15 ft from the base of the sign, calculate the rate at which the length of the sign’s shadow on the ground is changing. State the rate in ft/s and indicate its sign.

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