document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012352>Question 1012352</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A carpenter wants to construct a simple cabin with a pitched roof.   The inside height of this “A-frame” cabin next to the wall must be 8 feet high.   The owner wants the inside height of the roof in the middle of the room (at the tallest point) to be 12 feet high.  The owner wants the slope of the roof to be 1/3.   How wide then must the cabin be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628254 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put this on a graph with the 8' wall on<BR>\n" );
document.write( "the y-axis.<BR>\n" );
document.write( "( 0,8 ) is the inside height of short wall<BR>\n" );
document.write( "( x[1], 12 ) is the middle of the inside roof<BR>\n" );
document.write( "( 2x[1], y[1] ) is the inside height of highest wall<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Equation for the ceiling line would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+8+ ALIGN=MIDDLE  ALT=\"+b+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( y-intercept )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+m+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( slope )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29%2Ax+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29%2Ax+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Plug in ( x[1], 12 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29%2Ax+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29%2Ax+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%281%2F3%29%2Ax%5B1%5D+%2B+8+ ALIGN=MIDDLE  ALT=\"+12+=+%281%2F3%29%2Ax%5B1%5D+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+-+8+=+%281%2F3%29%2Ax%5B1%5D+ ALIGN=MIDDLE  ALT=\"+12+-+8+=+%281%2F3%29%2Ax%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2Ax%5B1%5D+=+4+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2Ax%5B1%5D+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B1%5D+=+12+ ALIGN=MIDDLE  ALT=\"+x%5B1%5D+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Plug in <BR>\n" );
document.write( "( 2x[1], y[1] )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29%2Ax+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29%2Ax+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+%281%2F3%29%2A2x%5B1%5D+%2B+8+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+%281%2F3%29%2A2x%5B1%5D+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+%281%2F3%29%2A2%2A12+%2B+8+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+%281%2F3%29%2A2%2A12+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+8+%2B+8+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+8+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5B1%5D+=+16+ ALIGN=MIDDLE  ALT=\"+y%5B1%5D+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( this was an extra step )<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5B1%5D+=+24+ ALIGN=MIDDLE  ALT=\"+2x%5B1%5D+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The width of the cabin is 24'<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Here's a plot of this ceiling line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+700%2C500%2C+-4%2C+28%2C+-4%2C+20%2C+%281%2F3%29%2Ax+%2B+8+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+700%2C500%2C+-4%2C+28%2C+-4%2C+20%2C+%281%2F3%29%2Ax+%2B+8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );