document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88849>Question 88849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with the following problem?  A 15 foot ladder is leaning against a building.   The bottom of the ladder is distance d from the building and the top of the ladder is d + 3 ft up the building.  Find these lengths.\r<BR>\n" );
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document.write( "Thank you very much for any help you can provide. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64605 by </B><A HREF=/tutors/aboutme.mpl?userid=malakumar_kos@yahoo.com><B>malakumar_kos@yahoo.com(315)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=malakumar_kos@yahoo.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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " A 15 foot ladder is leaning against a building. The bottom of the ladder is distance d from the building and the top of the ladder is d + 3 ft up the building. Find these lengths\r<BR>\n" );
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document.write( "  Let ABC represent the sides of a right angle triangle such that <BR>\n" );
document.write( "    AB = height of the building above the ground at which ladder touches = d+3<BR>\n" );
document.write( "    BC = the length of the ladder  = 15 ft<BR>\n" );
document.write( "    AC = the distance of the  bottom of ladder from the building = d ft<BR>\n" );
document.write( "    The triangle is such that angle A = 90 degrees . so hypotenuse will be BC<BR>\n" );
document.write( "     Apply pythagorous theorem  ,  BC^2 = AB^2+AC^2<BR>\n" );
document.write( "                                   (15)^2 = (d+3)^2+(d)^2<BR>\n" );
document.write( "                                      225 = d^2+6d+9+d^2<BR>\n" );
document.write( "                                      225-9 = 2d^2=6d<BR>\n" );
document.write( "                                     2d^2+6d-216 = 0<BR>\n" );
document.write( "                                     2d^2+24d-18d-216=0<BR>\n" );
document.write( "                                     2d(d+12)-18(d+12) = 0<BR>\n" );
document.write( "                                     (d+12)(2d-18) = 0<BR>\n" );
document.write( "               if 2d-18 = 0 then d = 18/2 = 9 then d+3 = 9+3 = 12<BR>\n" );
document.write( "                if d+12 = 0 then d = -12     hence d+3 = -12+3 = -9\r<BR>\n" );
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document.write( "      The distance of the bottom of the ladder from the building = 9 ft<BR>\n" );
document.write( "      the height at which the ladder is touching the building  = 12 ft </SPAN>\n" );
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