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

## Answer this Question

## Related Questions

- math - Howard leaves the dock and sails 2.5miles west He turns south and sails 3...
- math - A ship sails due north from a position 5 degrees, 28' South Latitude to ...
- maths - A ship sails on a steady course bearing 106 degrees from A to B.If B is ...
- math - 2 ships sail from the same por, one sails dew east at 15 mph and the ...
- math - could someone show me how to write this or set up this equation?2 ships ...
- math - Because of the wind, a boat sails 4 728 meters in the directions S 47 ...
- trig - A lighthouse is 14 miles east of a dock. A ship sails N33degreesE from ...
- math - a ship sails 145 kms on a bearing of 215 degrees. how far south of its ...
- trigonometry - 1. A boat sails for 4 hours at 35 mph in a direction 135degrees ...
- trig - A ship sails 40 miles SOUTH and 15 miles EAST. Find the bearing from ...