Question:medium

A man of 5 feet height is walking away from a light fixed at a height of 15 feet at the rate of K miles/hour. If the rate of increase of his shadow is $\frac{11}{5}$ feet/sec, then K = (Take 1 mile = 5280 feet)

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Related rates problems involving shadows almost always use similar triangles. Set up the proportion, create a simple algebraic relationship between the variables, and then differentiate with respect to time. Always be careful with units.

Updated On: Mar 30, 2026

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The Correct Option is B

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A man of 5 feet height is walking away from a light fixed at a height of 15 feet at the rate of K miles/hour. If the rate of increase of his shadow is $\frac{11}{5}$ feet/sec, then K = (Take 1 mile = 5280 feet)

Show Hint

The Correct Option is B

Solution and Explanation

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