Captain Jack Sparrow has been marooned on an island in the Atlantic by his crew, and decides to build a raft to escape. The wind seems quite steady, and first blows him due east for 11 km, and then 14.5 km in a direction 8.5 degrees north of east.

(a) How far east, in kilometers, has the wind blown Jack?

Part (b) How far north, in kilometers, has Jack been blown?

Part (c)Confident that he will eventually find himself in Spain, Jack falls asleep. When he wakes up, he notices the wind is blowing him gently at 13 degrees south of east - but after traveling for 21 km, he finds himself back on the island where he started! How far, in kilometers, did the wind blow him while he was sleeping?

(d) Assuming the wind blew the same direction all night, what direction, in degrees north of west, did the wind blow Jack during the night?