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March 29, 2017

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An enemy ship is on the western side of a mountain island. The enemy ship can maneuver to within 2520 m of the 1850 m high mountain peak and can shoot projectiles with an initial speed of 260 m/s. If the eastern shoreline is horizontally 305 m from the peak, what is the minimum distance from the eastern shore at which a ship can be safe from the bombardment of the enemy ship?

What is the maximum distance from the eastern shore at which a ship can be safe from the bombardment of the enemy ship?

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