SOLUTION: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile mor
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Question 1010435: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile more more than Ray's distance from home. How far from home is Rosa?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile more more than Ray's distance from home. How far from home is Rosa?
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Sketch the picture::
You have a right triangle with----
Rosa's distance = north leg = 5 miles
Ray's distance = east leg = x miles
hypotenuse = x+1 miles
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Solve for "x"::
x^2 + 5^2 = (x+1)^2
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x^2 + 25 = x^2 + 2x + 1
2x+1 = 25
2x = 24
x = 12 (Rays's distance from home)
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Cheers,
Stan H.
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