SOLUTION: A plane flies 820 miles from Franklin to Centerville with a bearing of 75°. Then it flies 673 miles from Centerville to Rosemount with a bearing of 32°. Draw a figure that visually

Algebra ->  Trigonometry-basics -> SOLUTION: A plane flies 820 miles from Franklin to Centerville with a bearing of 75°. Then it flies 673 miles from Centerville to Rosemount with a bearing of 32°. Draw a figure that visually      Log On


   

Question 873032: A plane flies 820 miles from Franklin to Centerville with a bearing of 75°. Then it flies 673 miles from Centerville to Rosemount with a bearing of 32°. Draw a figure that visually represents the situation, and find the straight-line distance and bearing from Franklin to Rosemount. (Round your answers to one decimal place.)

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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flies 820 miles from Franklin to Centerville with a bearing of 75°. Then it flies 673 miles from Centerville to Rosemount with a bearing of 32°. Draw a figure that visually represents the situation, and find the straight-line distance and bearing from Franklin to Rosemount. (Round your answers to one decimal place.)
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x-coordinate = 820*cos(75) + 673*cos(32) = 782.97 miles
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y-coordinate = 820*sin(75) + 673*sin(32) = 1148.69 miles
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Bearing = arctan(y/x) = 55.72 degrees
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Distance = sqrt(x^2+y^2) = 1390.15 miles
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Cheers,
Stan H.