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A lighthouse is on an island 250 meters west of the shore of Lake Trinidad. The lighthouse beam makes a full turn every 12 seconds.

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A lighthouse is on an island 250 meters west of the shore of Lake Trinidad. The lighthouse beam makes a full turn every 12 seconds. Trymaine is standing on the shoreline at a point 1100 meters from the lighthouse. How rapidly is the point where the beam meets the shoreline moving along the shoreline when the beam passes through Trymaine's position? (Assume the shoreline runs north/south) (enter your answer rounded to 3 decimal places; be sure to include the units of your answer}

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