Related Rates: Rotating Searchlight Problem

in hive-128780 •  9 days ago  (edited)

In this video I go over another related rates problem and show how to find the rate at which a searchlight rotates when focused on a man that is walking at a constant rate.


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Related Rates: Rotating Searchlight Problem

Related Rates  Rotating Searchlight.jpeg

Example

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?

Solution

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