document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068857>Question 1068857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ladder is leaning against a building. The distance from he bottom of the ladder to the building is 18 ft shorter than the length out the ladder. How high up the side of the building is the top of the ladder of the distance is 9 ft less than 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 #684163 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=684163\">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 18 ft shorter than the length out the ladder.<BR>\n" );
document.write( " How high up the side of the building is the top of the ladder if the distance is 9 ft less than the length of the ladder?<BR>\n" );
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document.write( "The ladder forms a right triangle, the length of the ladder is the hypotenuse<BR>\n" );
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document.write( "let L = the length of the ladder<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(L-18) = distance from the bottom of the ladder to the building<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(L-9) = how high up the building is the top of the ladder.<BR>\n" );
document.write( "Pythag<BR>\n" );
document.write( "(L-18)^2 + (L-9)^2 = L^2<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "(L^2 - 36L + 324) + (L^2 - 18L + 81) = L^2<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "L^2 + L^2 - L^2 - 36L - 18L + 324 + 81 = 0<BR>\n" );
document.write( "L^2 - 54L + 405 = 0<BR>\n" );
document.write( "You can use the quadratic formula, but this will factor to<BR>\n" );
document.write( "(L-45)(L-9) = 0<BR>\n" );
document.write( "L = 9<BR>\n" );
document.write( "and<BR>\n" );
document.write( "L = 45 ft is the reasonable answer for the length of the ladder<BR>\n" );
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document.write( "Check on a calc: enter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2827%5E2+%2B+36%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2827%5E2+%2B+36%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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