SOLUTION: f two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph

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Question 162424: f two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
I know the answer is C; but, how do I get to the answer

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
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Draw the picture: a north leg of length 2*150", and west leg of length 2*200
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Use Pythagoras to find the distance between them:
d = sqrt[300^2 + 400^2]
d = sqrt[250,000]
d = 500 miles
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Cheers,
Stan H.
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A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
I know the answer is C; but, how do I get to the answer