document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190170>Question 190170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I really need help with the question below.  It is from a homework handout so I do not have an ISBN.  Thanks for your help.\r<BR>\n" );
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document.write( "A ladder 15 feet long leans against a wall.  The top of the ladder reaches a height that is 3 feet more than twice the distance from the base of the ladder to the wall.  Draw and label a diagram.  How high up the wall does this 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 #142724 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=142724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ladder 15 feet long leans against a wall. The top of the ladder reaches a height that is 3 feet more than twice the distance from the base of the ladder to the wall. Draw and label a diagram. How high up the wall does this ladder reach?<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
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document.write( "The ladder is the hypotenuse of a right triangle.<BR>\n" );
document.write( "Let the base of the right triangle be \"x\".<BR>\n" );
document.write( "Then the height on the wall is \"2x+3\".<BR>\n" );
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document.write( "Using Pythagoras you get:<BR>\n" );
document.write( "x^2 + (2x+3)^2 = 15^2<BR>\n" );
document.write( "x^2 + 4x^2 + 12x + 9 = 225<BR>\n" );
document.write( "5x^2 + 12x - 216 = 0<BR>\n" );
document.write( "Use the quadratic formula to get:<BR>\n" );
document.write( "x = [-12 +- sqrt(12^2-4*5*-216)]/10<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = [-12 + sqrt(4464)]/10<BR>\n" );
document.write( "x = 5.38 ft<BR>\n" );
document.write( "2x+3 = 13.96 ft. (height on the wall)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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