document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288956>Question 288956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A piece of wire measuring 20 feet is attached to a pole as a guy wire. The distance along the ground from the bottom of the pole to the end of the wire is 4 feet greater than the height where the wire is attached to the pole. How far up the pole does the guy wire reach?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209379 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the height at which the wire is attached to the pole be x\r<BR>\n" );
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document.write( "Distance along ground from wire to base of pole = x+4\r<BR>\n" );
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document.write( "The length of the wire is 20 feet\r<BR>\n" );
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document.write( "using the pythagoras theorem\r<BR>\n" );
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document.write( "x^2+(x+4)^2 = 20^2\r<BR>\n" );
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document.write( "x^2+x^2+8x+16=400\r<BR>\n" );
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document.write( "2x^2+8x-384=0\r<BR>\n" );
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document.write( "x^2 +4x-192=0\r<BR>\n" );
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document.write( "x^2 +16x-12x-192=0\r<BR>\n" );
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document.write( "x(x+16)-12(x+16)=0\r<BR>\n" );
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document.write( "(x+16)(x-12)=0\r<BR>\n" );
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document.write( "x=12 \r<BR>\n" );
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document.write( "12 feet from the bottom of the pole\r<BR>\n" );
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