document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040943>Question 1040943</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Help please <BR>\n" );
document.write( "A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 6 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 3 ft less than the length of the&#8203; ladder?<BR>\n" );
document.write( "The top of the ladder is _____ ft up the side of the building. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655997 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ladder is leaning against a building.<BR>\n" );
document.write( " The distance from the bottom of the ladder to the building is 6 ft shorter than the length of the ladder.<BR>\n" );
document.write( " How high up the side of the building is the top of the ladder if that distance is 3 ft less than the length of the&#8203; ladder?<BR>\n" );
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document.write( "Let L = the length of the ladder<BR>\n" );
document.write( "This is a Pythagorean problem where<BR>\n" );
document.write( "L = the hypotenuse, the length of the ladder<BR>\n" );
document.write( "(L-6) = one leg the distance from the base of the ladder to the building<BR>\n" );
document.write( "(L-3) = the other leg, the height from the ground to the top of the ladder<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(L-6)^2 + (L-3)^2 = L^2<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "(L^2 - 12L + ) + (L^2 - 6L + 9) = L^2<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "L^2 + L^2 - L^2 - 12L - 6L + 36 + 9 = 0<BR>\n" );
document.write( "L^2 - 18L + 45 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(L-3)(L-15) = 0<BR>\n" );
document.write( "L = 3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "L = 15 ft is the reasonable answer for the length of the ladder<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The top of the ladder is _____ ft up the side of the building. <BR>\n" );
document.write( "15 - 3 = 12 ft up the side of the building<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this, the two sides would be 9 and 12<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%5E2+%2B+12%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%289%5E2+%2B+12%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = !5 </SPAN>\n" );
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