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You walk 100 metres due south, turn 90 degrees and walk 100 metres due east, turn 90 degrees and walk 100 metres due north and end up in the same place you started. How can that be?
Apparently it's not that you were standing on the North Pole to start with.
Any ideas anyone?
Many thanks
No best answer has yet been selected by peskie. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.You could be 115.9155 metres away from the SOUTH Pole! After walking 100 metres due south, you would now be 15.9155 (= 100/2xpi) metres away. Now turning through 90 degrees and walking due east takes you through a complete circle with circumference 100 metres (ending up where you began your little circular tour). If you now walk due north, you will return to your starting point.
Allowing for multiple circular tours (getting ever tighter), you could begin (100 + 100/2xkxpi) metres away from the South Pole (for any natural number k).