spherical geometry

Question

A mobile, on the surface of the earth, is at a point A. Travels 200 km south arriving at a point B. Later moves 200 km west arriving at a point C. Finally moves over 200 kilometers to the north, back to point A. Assuming that the surface of the earth is a perfect sphere, which the geometric place of the points where the mobile could be?

Answer 1

Just so we have an answer, one possibility is the North pole. There are more near the South pole, where the Westward trip circles the pole any whole number of times.