document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369111>Question 369111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the foot of a ladder is 9 feet from the wall. the ladder is 3 feet longer than the distance it reaches up the wall. How far up the wall does the ladder reach? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263027 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We will certainly use the Pythagorean Theorem on this one, as expected. <br>\r<BR>\n" );
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document.write( "Let h be the height of the wall, or the height of the wall where the top of the ladder touches.<br>\r<BR>\n" );
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document.write( "Let w be the width of the ground, or the width of the ground where the bottom (foot) of the ladder touches.<br>\r<BR>\n" );
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document.write( "Let l be the length of the ladder itself.<br>\r<BR>\n" );
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document.write( "We are given w=9 feet<br>\r<BR>\n" );
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document.write( "We are also given that h+3=l<br>\r<BR>\n" );
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document.write( "Now we should be able to set up the Pythagorean Theorem:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or in this case:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2Bw%5E2=l%5E2 ALIGN=MIDDLE  ALT=\"h%5E2%2Bw%5E2=l%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B9%5E2=%28h%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"h%5E2%2B9%5E2=%28h%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > substituting all known values<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B81=h%5E2%2B6h%2B9 ALIGN=MIDDLE  ALT=\"h%5E2%2B81=h%5E2%2B6h%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72=6h ALIGN=MIDDLE  ALT=\"72=6h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=12 ALIGN=MIDDLE  ALT=\"h=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<b>Therefore, the top of the ladder should reach up to 12 feet on the wall.</b><br>\r<BR>\n" );
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document.write( "Also, now that we know how far the ladder reaches up (12 feet) and how far the ladder reaches away from the wall (9 feet), we can now find out how long the ladder actually is!<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2%2B9%5E2=l%5E2 ALIGN=MIDDLE  ALT=\"12%5E2%2B9%5E2=l%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2B81=l%5E2 ALIGN=MIDDLE  ALT=\"144%2B81=l%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=15 ALIGN=MIDDLE  ALT=\"l=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Therefore the ladder is 15 feet long.  You didn't need to know that solve the problem, but it's certainly nice to get the complete picture.<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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