document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192717>Question 1192717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ladder is leaning against a building so that the top is 8 feet above the ground. The length of the ladder is 2 feet less than twice the distance of the bottom of the ladder from the building. Find the length of the ladder. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824614 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Drawing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/wVwdBpP.png\"><BR>\n" );
document.write( "a = x = horizontal leg<BR>\n" );
document.write( "b = 8 = vertical leg<BR>\n" );
document.write( "c = 2x-2 = hypotenuse \r<BR>\n" );
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document.write( "Apply the Pythagorean Theorem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+8%5E2+=+%282x-2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+8%5E2+=+%282x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B64+=+4x%5E2-8x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2B64+=+4x%5E2-8x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+4x%5E2-8x%2B4-64+-+x%5E2 ALIGN=MIDDLE  ALT=\"0+=+4x%5E2-8x%2B4-64+-+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+3x%5E2-8x-60 ALIGN=MIDDLE  ALT=\"0+=+3x%5E2-8x-60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-8x-60+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2-8x-60+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The last equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > with<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = -8<BR>\n" );
document.write( "c = -60\r<BR>\n" );
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document.write( "Use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%283%29%28-60%29%29%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%283%29%28-60%29%29%29%2F%282%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B-sqrt%28784%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%288%2B-sqrt%28784%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B-++++28%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%288%2B-++++28%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B28%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%288%2B28%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288-28%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%288-28%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2836%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2836%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-20%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-10%2F3+=+-3.33 ALIGN=MIDDLE  ALT=\"x+=+-10%2F3+=+-3.33\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately<BR>\n" );
document.write( "Ignore the negative result because negative side lengths aren't possible.\r<BR>\n" );
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document.write( "This x value then leads to<BR>\n" );
document.write( "ladder length = 2x-2 = 2(6)-2 = 12-2 = 10\r<BR>\n" );
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document.write( "We have a 6-8-10 right triangle.\r<BR>\n" );
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document.write( "Answer: <BR>\n" );
document.write( "<font color=red>The ladder is 10 feet long</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
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