Show that the sum of the vectors discussed in Example 3.2 gives the result shown in Figure

Question:

Show that the sum of the vectors discussed in Example 3.2 gives the result shown in Figure 3.23.

Data given in Example 3.2

A woman sailing a boat at night is following directions to a dock. The instructions read to first sail 27.5 m in a direction 66.0° north of east from her current location, and then travel 30.0 m in a direction 112° north of east (or 22.0° west of north). If the woman makes a mistake and travels in the opposite direction for the second leg of the trip, where will she end up? Compare this location with the location of the dock.

Data given in Figure 3.23

YA X A + B = R' R' R = 52.9 m 66 B A 112 90.1