document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200660>Question 1200660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The longest side of a triangle measured 267m,if two angles are 37and 48,find the shortest side of the triangle<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834847 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=834847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red size=4>161.2984 meters (approximate)</font>\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "The given angles are<BR>\n" );
document.write( "A = 37 degrees<BR>\n" );
document.write( "B = 48 degrees \r<BR>\n" );
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document.write( "Let's find angle C<BR>\n" );
document.write( "A+B+C = 180<BR>\n" );
document.write( "C = 180-A-B<BR>\n" );
document.write( "C = 180-37-48<BR>\n" );
document.write( "C = 95 degrees\r<BR>\n" );
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document.write( "The interior angles of the triangle are<BR>\n" );
document.write( "A = 37 degrees<BR>\n" );
document.write( "B = 48 degrees<BR>\n" );
document.write( "C = 95 degrees\r<BR>\n" );
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document.write( "The shortest side is opposite the smallest angle.<BR>\n" );
document.write( "The longest side is opposite the largest angle.\r<BR>\n" );
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document.write( "Since C = 95 is the largest angle, we have c = 267 as the longest side.\r<BR>\n" );
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document.write( "Side 'a' is the shortest side, opposite the smallest angle (A = 37)\r<BR>\n" );
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document.write( "Diagram<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28400%2C300%2C-5%2C5%2C-7%2C3%2C%0D%0A%0D%0Alocate%280.34%2C-2.14%2C+%22c=267%22%29%2C%0D%0A%0D%0Aline%28-2%2C-3%2C3.01144%2C-1.15579%29%2C%0D%0Aline%283.01144%2C-1.15579%2C0.15771%2C0.34858%29%2C%0D%0Aline%280.15771%2C0.34858%2C-2%2C-3%29%2C%0D%0A%0D%0Alocate%28-2.28%2C+-3.12%2C+%22A%22%29%2C%0D%0Alocate%28-1.28%2C+-1.78%2C+37%5Eo%29%2C%0D%0Alocate%281.3%2C+0.52%2C+%22a=%3F%3F%3F%22%29%2C%0D%0A%0D%0Alocate%283.16%2C+-1.12%2C+%22B%22%29%2C%0D%0Alocate%281.58%2C+-0.62+%2C+48%5Eo%29%2C%0D%0Alocate%28-1.05%2C-0.5+%2C+%22b%22%29%2C%0D%0A%0D%0Alocate%28-0.14%2C0.92%2C+%22C%22%29%2C%0D%0Alocate%280.06%2C0.22%2C+95%5Eo%29%2C%0D%0A%0D%0Alocate%28-4.8%2C-6.3%2Cmatrix%281%2C5%2C%22Diagram%22%2C%22is%22%2C%22not%22%2C%22to%22%2C%22scale%22%29%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the law of sines to determine 'a'.<BR>\n" );
document.write( "sin(A)/a = sin(C)/c<BR>\n" );
document.write( "sin(37)/a = sin(95)/267<BR>\n" );
document.write( "267*sin(37) = a*sin(95)<BR>\n" );
document.write( "a*sin(95) = 267*sin(37)<BR>\n" );
document.write( "a = 267*sin(37)/sin(95)<BR>\n" );
document.write( "a = 161.298400292027<BR>\n" );
document.write( "a = <font color=red>161.2984</font><BR>\n" );
document.write( "The shortest side is <font color=red>approximately 161.2984 meters</font> long.<BR>\n" );
document.write( "Round this value however your teacher instructs.<BR>\n" );
document.write( "Make sure your calculator is in degree mode.<BR>\n" );
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