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FAN & MEDAL: TRIG (LAW OF COSINES): In aerial navigation, directions are given in degrees clockwise from north. Thus, east is 90°, south is 180°, and so on. A plane leaves South Bend for Buffalo, 400 miles away, intending to fly a straight course in the direction 70°. After flying 180 miles, the pilot realizes that an error has been made and that he has actually been flying in the direction 41°.
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(a) At that time, how far is the plane from Buffalo? (Round your answer to one decimal place.) (b)In what direction should the plane now go to reach Buffalo? (Round your answer to one decimal place.)
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