document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135394>Question 1135394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12ft. Find the length of the ladder if the length is 4ft more than its distance from the wall. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753002 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=753002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "x = distance from the bottom of the wall to the base of the ladder<BR>\n" );
document.write( "x+4 = length of ladder (since it's 4 more feet compared to the previous distance)<BR>\n" );
document.write( "12 = height where the ladder touches at the top of the wall\r<BR>\n" );
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document.write( "Diagram:<BR>\n" );
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document.write( "We have a right triangle with legs of x and 12. The hypotenuse is x+4\r<BR>\n" );
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document.write( "Use the Pythagorean theorem to get...<BR>\n" );
document.write( "a = x, b = 12, c = x+4<BR>\n" );
document.write( "a^2 + b^2 = c^2<BR>\n" );
document.write( "x^2 + 12^2 = (x+4)^2<BR>\n" );
document.write( "x^2 + 144 = x^2+8x+16<BR>\n" );
document.write( "144 = 8x+16 .... subtract x^2 from both sides<BR>\n" );
document.write( "144-16 = 8x .... subtract 16 from both sides<BR>\n" );
document.write( "128 = 8x<BR>\n" );
document.write( "8x = 128<BR>\n" );
document.write( "x = 128/8<BR>\n" );
document.write( "x = 16\r<BR>\n" );
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document.write( "The distance from the base of the ladder to the bottom of the wall is 16 feet. \r<BR>\n" );
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document.write( "Use this x value to compute the expression x+4<BR>\n" );
document.write( "x+4 = 16+4 = 20\r<BR>\n" );
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document.write( "Answer: The ladder is 20 feet long<BR>\n" );
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