If I take, say, a runway that is 18 inches thick, and carve a 12 inch cubed hole in it, then no matter how much dirt I put in it, you still quite identifiably have a 12 inch cubed hole in the runway, just one that is full of dirt.
Actually, an infinite number of possibilities*, starting infinitesimally more than 100’ North of the pole (and you end up making a huge number of circles around the pole while stepping out those 100’ East,) and ending roughly 130’ North of it.
Which is why I didn’t give an exact number
Well, mathematically speaking, assuming there are no restrictions on the radius of your circle aroun the pole, on your step size, etc…
Slim Pickens rides into town on a Sunday.
Three days later he leaves on Monday.
How is this possible?
Monday is the name of his horse.
Farmer Joe and Farmer Fred each have some sheep. Farmer Fred has more sheep than Farmer Joe. Farmer Fred says :
"Joe, if you give me one of your sheep, I will have twice as many sheep as you. "
“No, Fred, give me one of your sheep and we will have the same number.”
How many sheep does each farmer have?
Why 130’ north of it? If my thinking is correct, the possibilities end roughly 116’ north of the south pole [specifically, 100’ north of the southern circle of latitude with circumference 100’, which is roughly [by ignoring the negligible curvature of the Earth at this distance] 100’/(2π) ~= 16’ north of the south pole].