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.)

ok i have a few problems with some of the comments posted.... first of all which north pole are we talking abou here- the magnetice north pole or the geographic north pole? Because that definitely makes a difference because the magnetic north pole which is true north actually moves.
Also i wouold like to point out that i noticed that all these comments seem to be well thought out mathmatically, but no one seems to use mathmatical convention. For instance numerous times you have used an irrational number in your answer. i belive the proper way of writing 1/sqrt2 would be sqrt2/2.

Posted by joy on 2003-06-16 17:49:12