Chapter 2, Problem 51P

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 $\text{45}\text{.0}°$ north of west, then 4.70 km and $\text{60}\text{.0}°$ south of east, then 130 km and $\text{25}\text{.0}°$ of west, then 5.10 km due east, then 1.70 km and $\text{5}\text{.00}°$ east of north, then 7.20 km and $\text{55}\text{.0}°$ south of west, and finally 2.80 km and $\text{10}\text{.0}°$ north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?