3.3 Exercise 15

In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: $2 . \text{50 km}$ $45.0º$ north of west; then $4 . \text{70 km}$ $60.0º$ south of east; then $1.30 \text{ km}$ $25.0º$ south of west; then $5 . \text{10 km}$ straight east; then $1.70 \text{ km}$ $5.00º$ east of north; then $7 . \text{20 km}$ $55.0º$ south of west; and finally $2 . \text{80 km}$ $10.0º$ north of east. What is his final position relative to the island?