After being left by his crew on an island in the Caribbean, Captain Sparrow built a...

  

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After being left by his crew on an island in the Caribbean, Captain Sparrow built a raft to escape and set out to sea on it. The wind is quite steady, at first blowing him due east for 19 km and then 14 km in a direction 12 degrees south of east. Certain that he will eventually reach safety somewhere to the east, he falls asleep. When he wakes up, he notices the wind is now blowing him gently 71 degrees north of west, and after traveling for 15 km in that direction, he finds himself back on the island! Part (a) How far, as the crow flies, in kilometers, did the wind blow him while he was sleeping? R=1 km Part (b) Assuming the wind blew in the same direction while he was sleeping, what direction in degrees south of west, did the wind blow Captain Kidd during the night? After being left by his crew on an island in the Caribbean, Captain Sparrow built a raft to escape and set out to sea on it. The wind is quite steady, at first blowing him due east for 19 km and then 14 km in a direction 12 degrees south of east. Certain that he will eventually reach safety somewhere to the east, he falls asleep. When he wakes up, he notices the wind is now blowing him gently 71 degrees north of west, and after traveling for 15 km in that direction, he finds himself back on the island! Part (a) How far, as the crow flies, in kilometers, did the wind blow him while he was sleeping? R=1 km Part (b) Assuming the wind blew in the same direction while he was sleeping, what direction in degrees south of west, did the wind blow Captain Kidd during the night?

Answer rating: 100% (QA)

To solve the problem its helpful to break it down into several steps and visualize the paths that Captain Sparrow takes on a coordinate plane Firstly lets deal with the first part of Captain Sparrows ... View the full answer