document.write( "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? \n" ); document.write( "

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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?
\n" ); document.write( "------
\n" ); document.write( "Sketch the picture::
\n" ); document.write( "You have a right triangle with----
\n" ); document.write( "Rosa's distance = north leg = 5 miles
\n" ); document.write( "Ray's distance = east leg = x miles
\n" ); document.write( "hypotenuse = x+1 miles
\n" ); document.write( "--------
\n" ); document.write( "Solve for \"x\"::
\n" ); document.write( "x^2 + 5^2 = (x+1)^2
\n" ); document.write( "-------
\n" ); document.write( "x^2 + 25 = x^2 + 2x + 1
\n" ); document.write( "2x+1 = 25
\n" ); document.write( "2x = 24
\n" ); document.write( "x = 12 (Rays's distance from home)
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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