12. An airplane has an airspeed of 490 km/h bearing 47 north of east. The wind velocity is 30 km/h in the direction 34

north of west. Find the resultant velocity representing the path of the airplane with respect to the ground.

9. Add the given vectors by components.

U=0.377, U=178.9

V=0.692, V=314.7

W=0.116, W=98.6

10. A boat sails on a bearing of 132.1 for 291 miles, then turns and sails 555 miles on a bearing of 220.4, then turns once more and sails 433 miles on a bearing of 75.5. Find the distance of the boat from its starting point. All bearings are measured counterclockwise from due east.

13.

In navigation, one method of expressing bearing is to give a single angle measured clockwise from due north. A radar station notes the bearing of two planes, one 18.5km away on a bearing of 24.0, and the other 10.0 km away on a bearing of 180.0. Find the displacement of the second plane from the first. See the figure to the right.