Posted by berriengk on .
A vessel sails 32 miles S 45 degrees E. How far south has it sailed?
The wording of it confuses me.

math 
drwls,
Total distance travelled is 32 miles. The south component of the displacement is is 32 cos 45 = 22.63 miles. On a map, that is how much the southern coordinate changes.
There is an eastern displacement of the same amount, 32 sin 45 = 22.63 miles.
The hypotenuse, which is the displacement vector magnitude, is 45 miles 
math (correction) 
drwls,
The hypotenuse, which is the displacement vector magnitude, is 32 miles