Final answer:
The woman will end up at a location A - B if she travels in the opposite direction for the second leg of the trip.
Step-by-step explanation:
The woman will end up at a location A - B if she travels in the opposite direction for the second leg of the trip. The first leg of the trip is represented by vector A, which is 27.5 m in a direction 66.0° north of east.
The second leg of the trip is represented by vector B, which is 30.0 m in a direction 112° north of east (or 22.0° west of north). When the woman travels in the opposite direction for the second leg, the vector B becomes -B.
To find the result, we subtract -B from A, giving us A - (-B) or A + B.