# Description of Derivatives and Rate of Change

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A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?

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##### Solution Summary

This solution is comprised of a very detailed, step-wise response which solves for the speed of a beam of light. This solution illustrates that this can be solved for by using derivatives.

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The distance from point P to the point where the light intersects the shore is x, thus the linear speed in which the ...

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