document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204051>Question 204051</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Wagon wheel. A wagon wheel is placed against a wall as<BR>\n" );
document.write( "shown in the accompanying figure. One point on the edge<BR>\n" );
document.write( "of the wheel is 5 inches from the ground and 10 inches<BR>\n" );
document.write( "from the wall. What is the radius of the wheel?\r<BR>\n" );
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document.write( "Thank you for all your help i really appreciate it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154055 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=154055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming it's tangent to the wall and the ground:<BR>\n" );
document.write( "Let the ground be the x-axis and the wall the y-axis<BR>\n" );
document.write( "The eqn of the circle is:<BR>\n" );
document.write( "(x-r)^2 + (y-r)^2 = r^2<BR>\n" );
document.write( "Sub 10 for x and 5 for y, since the point (10,5) is on the circle.<BR>\n" );
document.write( "100-20r+r^2 + 25-10r+r^2 = r^2<BR>\n" );
document.write( "r^2 -30r + 125 = 0<BR>\n" );
document.write( "r = 5 (the point is at the top of the wheel. This point is inverted, 10 from the ground and 5 from the wall.)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "r = 25 (the point is below the axle of the wheel) </SPAN>\n" );
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