An airplane was due north of a tropical island when hurricane warning arrived at noon. In what direction was the tropical island from the position of the airplane at 3 pm?
1 . To circumvent the path of the hurricane, the airplane flew due west at 200 miles per hour from noon till 2 pm, and from 2 pm until 3 pm, it flew due south at 300 miles per hour.
2. At 3 pm, the airplane was exactly 450 miles from the tropical island.