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Three Shots
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You are being held captive 60 ft. underground. Your two guards bring you into a room that has a spinning sphere. The sphere is revolving along with rotating. Your guards give you a gun and say, "With three shots, we want you to put three impacts onto the surface of one half of the sphere. If you do that, then we will release you." What could you do to ensure your escape?
Answer
All you really need to do is to make sure that you hit the sphere three times. If you do that, your shots will always be on the same half of the sphere. This is because 3 points define a plane, and a plane bisects the sphere into hemispheres.Another possibility would be to shoot the guards.
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