document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624353>Question 624353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the design of a new building., a doorway is 2.65 ft above the ground. A ramp for the disabled, at an angle of 6.0 degrees with the ground, is to be built to the doorway. How long will the ramp be?\r<BR>\n" );
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document.write( "Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392700 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=392700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a right triangle with horizontal and vertical sides. Label the vertical side as 2.65 ft. Label the angle between the horizontal side and the hypotenuse as 6 degrees. We are looking for the length of the ramp, which is the hypotenuse, so label it \"x\".<br><BR>\n" );
document.write( "To find the length of the ramp we will need to use a Trig function the involves the angle and side we know and the side we want to know. The vertical side is the side opposite to the 6 degree angle and the ramp is the hypotenuse. Which functions have ratios involving opposite and hypotenuse? Answer: sin and csc. Since 6 degrees is not a special angle we will need to use our calculator. And since our calculator probably has a button for sin but not one for csc, we will use sin. Since sin is opposite over hypotenuse the equation we have is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%286%29+=+2.65%2Fx ALIGN=MIDDLE  ALT=\"sin%286%29+=+2.65%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we solve this for x. We can get rid of the fraction by multiplying both sides by x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asin%286%29+=+2.65 ALIGN=MIDDLE  ALT=\"x%2Asin%286%29+=+2.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And then we divide by sin(6):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.65%2Fsin%286%29 ALIGN=MIDDLE  ALT=\"x+=+2.65%2Fsin%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an exact expression for the answer. For a decimal approximation we reach for our calculators. First we find sin(6):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.65%2Fsin%286%29 ALIGN=MIDDLE  ALT=\"x+=+2.65%2Fsin%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.65%2F0.10452846 ALIGN=MIDDLE  ALT=\"x+=+2.65%2F0.10452846\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+25.35194721 ALIGN=MIDDLE  ALT=\"x+=+25.35194721\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the ramp will be approximately 25.35 feet long. </SPAN>\n" );
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