document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106199>Question 1106199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet from the wall? What angle will the ladder make with the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721145 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming the ground is horizontal, and the wall surface is vertical,<BR>\n" );
document.write( "you have a right triangle with the ladder as its hypotenuse.<BR>\n" );
document.write( "According to the Pythagorean theorem,<BR>\n" );
document.write( "if the ladder is exactly 6 ft from the bottom of the wall,<BR>\n" );
document.write( "the top of the ladder will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet above the ground, with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B6%5E2=25%5E2 ALIGN=MIDDLE  ALT=\"h%5E2%2B6%5E2=25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B36=625 ALIGN=MIDDLE  ALT=\"h%5E2%2B36=625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=625-36 ALIGN=MIDDLE  ALT=\"h%5E2=625-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2=589 ALIGN=MIDDLE  ALT=\"h%5E2=589\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28589%29=approximately24.26 ALIGN=MIDDLE  ALT=\"h=sqrt%28589%29=approximately24.26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the ladder could reach about 24 ft 3 inches.<BR>\n" );
document.write( "For practical purposes, I would say 24 feet.<BR>\n" );
document.write( " <BR>\n" );
document.write( "If the ladder top touches the wall <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2824.26%29 ALIGN=MIDDLE  ALT=\"highlight%2824.26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet above the ground,<BR>\n" );
document.write( "with the bottom of the ladder 6 ft from the wall,<BR>\n" );
document.write( "the slope  of the ladder is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24.26%2F6=about ALIGN=MIDDLE  ALT=\"24.26%2F6=about\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284.04%29 ALIGN=MIDDLE  ALT=\"highlight%284.04%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "That slope is the tangent (opposite side divided by adjacent side)<BR>\n" );
document.write( "of the angle will the ladder makes with the ground.<BR>\n" );
document.write( "So, the calculator will tell you that an acute angle with a tangent of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.04 ALIGN=MIDDLE  ALT=\"4.04\"   DISABLED_style= \"max-width:90%; height:auto;\" > measures about<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2876.1%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%2876.1%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "All of the answers are numbers that cannot be expressed as exact decimals,<BR>\n" );
document.write( "so approximate answers is all you can get.<BR>\n" );
document.write( "Those are good enough for real life,<BR>\n" );
document.write( "and hopefully accepted by any teacher. </SPAN>\n" );
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