SOLUTION: to get to work from my home, I travel 8 miles north and then turn west and travel 6 miles. If i could travel in a straight line from my home to work, how much distance would i save

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Question 634467: to get to work from my home, I travel 8 miles north and then turn west and travel 6 miles. If i could travel in a straight line from my home to work, how much distance would i save?
Found 2 solutions by stanbon, graphmatics:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
to get to work from my home, I travel 8 miles north and then turn west and travel 6 miles. If i could travel in a straight line from my home to work, how much distance would i save?
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straight line distance = sqrt[8^2+6^2] = sqrt[100] = 10 miles
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angle distance = 8+6 = 14 miles
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Miles samed: 14-10 = 4 miles
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Cheers,
Stan H.

Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
Let a be the 8 miles north traveled line and let b be the 6 miles west traveled line. Let c be the straight line from home to work. Line a and line b have a 90 degree angle so a, b and c form a right triangle. Because this is a right triangle a%5E2%2Bb%5E2=c%5E2
c%5E2=6%5E2%2B8%5E2=100
c=sqrt%28100%29=10