Posted by **samir** on Tuesday, March 25, 2008 at 11:04pm.

A light house is 1 km off shore. A marathoner is running along the shore. The search light on the light house is rotating at a rate of 1/6 revolution per minute when the runner is 3 km from the point on the shore that is the closest to the light house.The runner is illuminated by the beam. How fast is the beam of the light moving along the shore at this moment?

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