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The Circle

 

We have one holdout who insists that the answer is 20 miles, and that lines of latitude are straight lines, and that since you are facing east you must travel east.

He has explained that a line of latitude is a circle, of which there are an infinite number of such circles (all of different sizes), parallel to each other on a sphere. I think we all agree that's true.

Now if you take a 2D circle in 3D space and look at it from the side, what do you get?

Yep, that's a straight line.