document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194385>Question 1194385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle has a hypotenuse of 9 yards. If one of the angles is 3 degrees, what is the area of this triangle? Explain your work.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826562 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=826562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = length of the horizontal leg<BR>\n" );
document.write( "y = length of the vertical leg\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's say the 3 degree angle is near the horizontal leg (x)<BR>\n" );
document.write( "This makes side x adjacent to the reference angle 3 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "cos(angle) = adjacent/hypotenuse<BR>\n" );
document.write( "cos(3) = x/9<BR>\n" );
document.write( "x = 9*cos(3)<BR>\n" );
document.write( "x = 8.987666<BR>\n" );
document.write( "This value is approximate<BR>\n" );
document.write( "Make sure your calculator is in degree mode.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And we can say<BR>\n" );
document.write( "sin(angle) = opposite/hypotenuse<BR>\n" );
document.write( "sin(3) = y/9<BR>\n" );
document.write( "y = 9*sin(3)<BR>\n" );
document.write( "y = 0.471024<BR>\n" );
document.write( "which is also approximate\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now we can compute the area of this right triangle<BR>\n" );
document.write( "area = base*height/2<BR>\n" );
document.write( "area = x*y/2<BR>\n" );
document.write( "area = 8.987666*0.471024/2<BR>\n" );
document.write( "area = 2.116703\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: <font color=red>Approximately 2.116703 square yards</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );