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Related Rates and Trigonometry : Rate of Rotation of a Searchlight

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A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight?

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The rate of rotation of a searchlight is found and discussed in the solution. The solution is detailed and well presented.

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