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It depends on where he started from. If he started 13 km from the North Pole, he will end up at the North Pole: so 13 km to the North of his starting point. If he started near the South Pole where the latitude is 6 km, he will again end up 13 km North of his starting point.

If the earth were a flat plane, then he would be approx 14.32 km from his starting point. He would be 27.775 deg East of North.

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