Question: Problem 5: A lighthouse, L, is on an island 4 miles away from the closest point, P, on the beach (see the following image). If

Problem 5: A lighthouse, L, is on an island 4 miles away from the closest point, P, on the beach (see the following image). If the lighthouse light rotates clockwise at a constant rate of 10 revolutions/min, how fast does the beam of light move across the beach 3 miles away from the closest point on the beach? (Hint: If a revolution is one complete turn, then 10 revolutions per minute is how many radians per minute?)

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