A traveller starts out from the Earth's equator, heading exactly northeast. Undeterred by mountains, oceans and political boundaries, he continues on a northeasterly heading until he can go no further.
Where does he end up?
How far did he go?
How many times did he circumnavigate the earth? (For these purposes, this means travel through 360 degrees of longitude.)
(i) He ends up at the North Pole.
(ii) He traverses a total of appriximately 14, 142 kilometers.
(iii) He circumnavigates the earth more than twice but less than three times.