document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468155>Question 468155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the length of the base and diagonal for 2 handicap ramps with known heights of 3.5\" and 8\" and a max slope of only 10 degrees. I tried using .5 feet to work out the algebra in the geometric equation. I believe I need to use the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+.5%28cot+10%29+ ALIGN=MIDDLE  ALT=\"+b+=+.5%28cot+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is that translated corectly to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+.5%2810%28b%2F.5%29%29+=+2.5+ ALIGN=MIDDLE  ALT=\"+b+=+.5%2810%28b%2F.5%29%29+=+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+.5%2F%28sin+10%29+ ALIGN=MIDDLE  ALT=\"+d+=+.5%2F%28sin+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+.5%2F%2810%28.5%2Fd%29%29+ ALIGN=MIDDLE  ALT=\"+d+=+.5%2F%2810%28.5%2Fd%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= ???<BR>\n" );
document.write( "ok, that is where I got lost.<BR>\n" );
document.write( "Honestly this is not Homework, but Housework. Trying to build ramps that my 80 year old mother can use to access the levels in her home in a wheel chair. <BR>\n" );
document.write( "Thank you for your help<BR>\n" );
document.write( "Lynnette<BR>\n" );
document.write( "lynnettemcarter@yahoo.com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321225 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First I will give solution in general terms then plug in known heights of 3.5\" and 8\".<BR>\n" );
document.write( "Let b,h,d be base,diagonal, and height of the ramp<BR>\n" );
document.write( "Let A be the angle, where A < 10<BR>\n" );
document.write( "Using trig relationships:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin+A+=+h%2Fd ALIGN=MIDDLE  ALT=\"sin+A+=+h%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by d on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Asin+A+=+h ALIGN=MIDDLE  ALT=\"d%2Asin+A+=+h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by sin A on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+h%2Fsin+A ALIGN=MIDDLE  ALT=\"d+=+h%2Fsin+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "***********************<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+A+=+h%2Fb ALIGN=MIDDLE  ALT=\"tan+A+=+h%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by b on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Atan+A+=+h ALIGN=MIDDLE  ALT=\"b%2Atan+A+=+h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by tan A on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+h%2Ftan+A ALIGN=MIDDLE  ALT=\"b+=+h%2Ftan+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "***********************<BR>\n" );
document.write( "Now you can substitute a given height and the desired angle.<BR>\n" );
document.write( "Use a scientific calculator to obtain trig functions, ex: tan(10) = .1763<BR>\n" );
document.write( "For h = 3.5\", A = 10 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3.5%2Ftan+10+=+19.85 ALIGN=MIDDLE  ALT=\"b+=+3.5%2Ftan+10+=+19.85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+3.5%2Fsin+10+=+20.15 ALIGN=MIDDLE  ALT=\"d+=+3.5%2Fsin+10+=+20.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "***************************<BR>\n" );
document.write( "For h = 8\", A = 10 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+8%2Ftan+10+=+45.37 ALIGN=MIDDLE  ALT=\"b+=+8%2Ftan+10+=+45.37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+8%2Fsin+10+=+46.07 ALIGN=MIDDLE  ALT=\"d+=+8%2Fsin+10+=+46.07\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note if you need to decrease the angle, the lengths of b,d will increase \r<BR>\n" );
document.write( "\n" );
document.write( "Hope that helps, <BR>\n" );
document.write( "good luck with the ramps\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );