- #1

kdf8

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Here's the problem:

An enemy ship is on the east side of a mountainous island, as shown in the figure below. The enemy ship can maneuver to within 2500 m of the 1800 m high mountain peak and can shoot projectiles with an initial speed of 250 m/s. If the western shoreline is horizontally 300 m from the peak, what are the distances from the western shore at which a ship can be safe from the bombardment of the enemy ship?

Sorry for such a rough hand sketch, I don't have a scanner.

I've tried working out this problem from doing my own research on projectile motion and basically I know I need to find the smallest and largest angles that will clear the mountain peak and find where those angles will cause the projectile to land, but I have no idea how to do that, equation wise. ANY help will be greatly appreciated.