A rocket is fired at a speed of 76.0 m/s from ground level, at an angle of 47.0° above the horizontal. The rocket is fired toward an 14.2-m high wall, which is located 18.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall?

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