document.write( "Question 327055: A wagon wheel is placed against a wall as
\n" ); document.write( "shown in the accompanying figure. One point on the edge
\n" ); document.write( "of the wheel is 5 inches from the ground and 10 inches
\n" ); document.write( "from the wall. What is the radius of the wheel
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Algebra.Com's Answer #234248 by galactus(183)\"\" \"About 
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If we draw a picture, we can see that the radius of the wheel has length \r
\n" ); document.write( "\n" ); document.write( "R=10+x or R=5+y............[1]\r
\n" ); document.write( "\n" ); document.write( "The equation of a circle is \"x%5E2%2By%5E2=R%5E2\"\r
\n" ); document.write( "\n" ); document.write( "From [1], we see that x=R-10 and y=R-5\r
\n" ); document.write( "\n" ); document.write( "This gives us \r
\n" ); document.write( "\n" ); document.write( "\"%28R-10%29%5E2%2B%28R-5%29%5E2=R%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Now, we have to down to one variable.\r
\n" ); document.write( "\n" ); document.write( "Simplify and form a quadratic:\r
\n" ); document.write( "\n" ); document.write( "\"R%5E2-30R%2B125=0\"\r
\n" ); document.write( "\n" ); document.write( "\"R=5\"
\n" ); document.write( "\"R=25\"\r
\n" ); document.write( "\n" ); document.write( "Of course, 5 is extraneous and we find the wheel has radius 25 inches.
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