SOLUTION: A plane flies in a straight line at 400 miles per hour for 1 hour and 12 minutes. It makes a 15 degree turn and flies at 375 miles per hour for 2 hours and 27 minutes. How far is i

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Question 726618: A plane flies in a straight line at 400 miles per hour for 1 hour and 12 minutes. It makes a 15 degree turn and flies at 375 miles per hour for 2 hours and 27 minutes. How far is it from its starting point?
Found 2 solutions by stanbon, tanjo3:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flies in a straight line at 400 miles per hour for 1 hour and 12 minutes. It makes a 15 degree turn and flies at 375 miles per hour for 2 hours and 27 minutes. How far is it from its starting point?
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Draw the picture.
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Determine the lenght of each leg using rate*time
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Use the Law of Cosines to find the final answer.
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Cheers,
Stan H.

Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
Hours traveled (A):
1+%2B+%2812%2F60%29+=+1.2
Distance traveled (A):
A+=+%28400+%2A+1.2%29+=+480
Hours traveled (B):
2+%2B+%2827%2F60%29+=+2.45
Distance traveled (B):
B+=+%28375+%2A+2.45%29+=+918.75
Distance from start:
Let C be the distance from the start, in miles.
C%5E2+=+A%5E2+%2B+B%5E2+-+2ABcos%28180-15%29
C%5E2+=+480%5E2+%2B+918.75%5E2+-+2%28480%29%28918.75%29cos%28165%29
C%5E2+=+1926448.141
C+=+1387.965468