Posted by berriengk on Thursday, March 18, 2010 at 10:48am.
A vessel sails 32 miles S 45 degrees E. How far south has it sailed?
The wording of it confuses me.

math  drwls, Thursday, March 18, 2010 at 10:57am
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, Thursday, March 18, 2010 at 10:58am
The hypotenuse, which is the displacement vector magnitude, is 32 miles
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