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 north of west, than 4.70 km and south of east, then 1.30 km and south of west, then 5.10 km straight east, then 1.70 km and east of north, than 7.20 km and south of west, and finally 2.80 km and north of east. Use a graphical method to find the castaways final position relative to the island. Required:
What is its magnitude and direction?