Given the bearings of  and  as shown next, determine the measure . (NOTE: Be careful with...

Given the bearings of  and  as shown next, determine the measure . (NOTE: Be careful with the order of the points here. The bearing of is not the same as the bearing of. See problem.)

Problem

In surveying, directions are usually specified in terms of bearings. The bearing of a line segment is the acute angle that the line segment makes with a north-south line. The angle and the quadrant are specified. For example, the bearing of is N 20° E. We also could say that the bearing of  is S 20° W. (In this case, imagine placing B at the origin rather than A.)

Sketch AB with the given bearing. Also give the bearing of BA.

a. N 17° W

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b. S 48° E

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c. N 78° E

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d. S 65° W