A castle sits at the top of a 100 m tall hill. The slope of the hill is 30 ° with respect to the horizontal. One projectile of mass 10 kg is fired at an angle of 30 ° above the horizontal with a speed of 31. 32 m / s from the top of the hill toward the bottom of the hill. Another projectile of mass 10 kg is fired at the same time at an angle of 60 ° above the horizontal with a speed of 54. 25 m / s from the bottom of the hill toward the top of the hill. Find the point at which they meet.

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