End at the Start
how many places are there on the earth that one could walk one mile south, then one mile west, then one mile north and end up in the same spot? to be precise, let's assume the earth is a solid smooth sphere, so oceans and mountains and other such things do not exist. you can start at any point on the sphere. also, the rotation of the earth has nothing to do with the solution; you can assume you're walking on a static sphere if that makes the problem less complicated to you.
posted by Foobar @ 11:02 AM
3 Comments:
Two, the north and the south pole.
i think only one place = NORTH POLE
in south pole, you could not walk one mile south.
There are infinite number of points with this attribute.
Every point in the south half of earth which is 1 mile north to a point X which Perimeter is a divider of a mile.
we will go 1 mile south, get to X, do one or more circles, get back to X and then go back to the north 1 mile.
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