document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624357>Question 624357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of of plywood 4.00ft by 8.00ft is cut from one corner to an opposite corner. what are the angles between edges of the resulting piece? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392699 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=392699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we started with a rectangle, the \"resulting piece\" is a right triangle with legs of 4 and 8 feet. TO find the acute angles in this right triangle we will use the two sides we know and an Trig function wthat would have those two sides in its ratio.<br><BR>\n" );
document.write( "Let's start with the angle that has the 8 ft side. Let's call this angle A. From the point of view of angle A, the 8 ft side is the adjacent side and the 4 ft side is the opposite side. Which Trig functions have opposite and adjacent in their ratios? Answer: tan and cot. And since our calculator probably does not have a button for cot, we will use tan.<br><BR>\n" );
document.write( "Since tan is opposite over adjacent the equation we will use is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29+=+4%2F8+=+1%2F2 ALIGN=MIDDLE  ALT=\"tan%28A%29+=+4%2F8+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So A is the acute angle whose tan is 1/2. For this we use the inverse tan button, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E%28-1%29%28x%29 ALIGN=MIDDLE  ALT=\"tan%5E%28-1%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, button:<BR>\n" );
document.write( "Making sure the calculator is working in degree mode and entering:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E%28-1%29%281%2F2%29 ALIGN=MIDDLE  ALT=\"tan%5E%28-1%29%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should get A = 26.56505118<br><BR>\n" );
document.write( "For the other angle, let's call it B, we can use<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28B%29+=+8%2F4 ALIGN=MIDDLE  ALT=\"tan%28B%29+=+8%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Or we could just use the fact that the three angle must add up to 180:<BR>\n" );
document.write( "B = 180 - 90 - 26.56505118<BR>\n" );
document.write( "Either way we should get B = 63.43494882 </SPAN>\n" );
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