2.3 Exercise 8

In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and $45.0 °$ north of west, then 4.70 km and $60.0 °$ south of east, then 1.30 km and $25.0 °$ south of west, then 5.10 km due east, then 1.70 km and $5.00 °$ east of north, then 7.20 km and $55.0 °$ south of west, and finally 2.80 km and $10.0 °$ north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?