Imagine that you are standing on the surface of the Earth. You walk one mile South, one mile West, and one mile North. You end up exactly where you started. Where are you?
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If you are at the North Pole and you walk one mile south, it doesn’t matter which longitude line you walked down on, and it doesn’t matter how much you walk laterally because when you walk back up one mile again, you will always be back at the North Pole. Therefore, the North Pole is the correct answer.