Chapter 2, Problem 31P

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 he is blown along the following directions: 2.50 km and $\text{45}.0°$ north of west, then 4.70 km and $\text{60}.0°$ south of east, then 1.30 km and $\text{25}.0°$ south of west, then 5.10 km straight east, then 1.70 km and $\text{5}.00°$ east of north, then 7.20 km and $\text{55}.0°$ south of west, and finally 2.80 km and $\text{10}.0°$ north of east. Use a graphical method to find the castaway’s final position relative to the island.