document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103816>Question 1103816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the Pythagorean theorem to find the length of the missing side. then find the indicated trigonometric function of the given angle. give an exact answer with a rational denominator. find tan theta. <BR>\n" );
document.write( "C=90 degrees B=theta a=8 b=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718540 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your triangle is ABC.\r<BR>\n" );
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document.write( "side a is opposite angle A.<BR>\n" );
document.write( "side b is opposite angle B.<BR>\n" );
document.write( "side c is opposite angle C.\r<BR>\n" );
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document.write( "angle C is equal to 90 degrees, therefore side c is the hypotenuse of the right triangle.\r<BR>\n" );
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document.write( "the length side a is 8 and the length of side b is 7.\r<BR>\n" );
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document.write( "by pythagorus, the square of the hypotenuse is equal to the sum of the square of each leg.\r<BR>\n" );
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document.write( "this means that c^2 = a^2 + b^2\r<BR>\n" );
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document.write( "since a = 8 and b = 7, then c^2 = 8^2 + 7^2 = 64 + 49 = 113.\r<BR>\n" );
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document.write( "take the square root of both sides of that equation to get c = plus or minus square root of 113.\r<BR>\n" );
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document.write( "since the length of any side can't be negative, then c = square root of (113).\r<BR>\n" );
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document.write( "you are given that angle B is equal to theta.\r<BR>\n" );
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document.write( "the side opposite angle B is b.\r<BR>\n" );
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document.write( "the side adjacent to angle B that is not the hypotenuse is a.\r<BR>\n" );
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document.write( "the tangent of B is equal to opposite / adjacent.\r<BR>\n" );
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document.write( "this is equal to side b / side a which is equal to 7/8\r<BR>\n" );
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document.write( "the tangent of angle B is equal to 7/8.\r<BR>\n" );
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document.write( "since angle B = angle theta, then that's the tangent of angle theta as well.\r<BR>\n" );
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document.write( "a diagram of your triangle is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src= \"http://theo.x10hosting.com/2017/120601.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( " </SPAN>\n" );
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