document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154772>Question 1154772</A>: <I><SPAN STYLE=\"word-break: break-all;\">  To the nearest tenth of a degree, calculate the angles of the triangle with vertices (0, 0), (6, 3), and (1, 8). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777262 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=VFBundy&illustration_name=20200330\"><BR>\n" );
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document.write( "Use the Law of Cosines:<BR>\n" );
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document.write( "C² = A² + B² - 2AB(cos c)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2865%29%5E2 ALIGN=MIDDLE  ALT=\"sqrt%2865%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%29%5E2+%2B+sqrt%2845%29%5E2+-+2sqrt%2850%29sqrt%2845%29%28cos%28c%29%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%29%5E2+%2B+sqrt%2845%29%5E2+-+2sqrt%2850%29sqrt%2845%29%28cos%28c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65 ALIGN=MIDDLE  ALT=\"65\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+%2B+45+-+2sqrt%282250%29%28cos%28c%29%29 ALIGN=MIDDLE  ALT=\"50+%2B+45+-+2sqrt%282250%29%28cos%28c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65 ALIGN=MIDDLE  ALT=\"65\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95+-+2sqrt%282250%29%28cos%28c%29%29 ALIGN=MIDDLE  ALT=\"95+-+2sqrt%282250%29%28cos%28c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-30 ALIGN=MIDDLE  ALT=\"-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sqrt%282250%29%28cos%28c%29%29 ALIGN=MIDDLE  ALT=\"-2sqrt%282250%29%28cos%28c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282250%29%28cos%28c%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282250%29%28cos%28c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fsqrt%282250%29 ALIGN=MIDDLE  ALT=\"15%2Fsqrt%282250%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28c%29 ALIGN=MIDDLE  ALT=\"cos%28c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28c%29 ALIGN=MIDDLE  ALT=\"cos%28c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3162 ALIGN=MIDDLE  ALT=\"0.3162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arccos%280.3162%29 ALIGN=MIDDLE  ALT=\"arccos%280.3162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c = 1.2491<BR>\n" );
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document.write( "Now, use the Law of Sines:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fsqrt%2845%29 ALIGN=MIDDLE  ALT=\"b%2Fsqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"c%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fsqrt%2845%29 ALIGN=MIDDLE  ALT=\"b%2Fsqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2491%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"1.2491%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cross-multiply:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Asqrt%2865%29 ALIGN=MIDDLE  ALT=\"b%2Asqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2491%2Asqrt%2845%29 ALIGN=MIDDLE  ALT=\"1.2491%2Asqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Asqrt%2865%29 ALIGN=MIDDLE  ALT=\"b%2Asqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.3792 ALIGN=MIDDLE  ALT=\"8.3792\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.3792%2Fsqrt%2865%29 ALIGN=MIDDLE  ALT=\"8.3792%2Fsqrt%2865%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b = 1.0393<BR>\n" );
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document.write( "So, we know b = 1.0393 radians.  This is 59.6 degrees.  We also know c = 1.2491 radians.  This is 71.6 degrees.  <BR>\n" );
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document.write( "Subtracting both these numbers from 180 degrees, this means a = 48.8 degrees.<BR>\n" );
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document.write( "In summary:<BR>\n" );
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document.write( "a = 48.8 degrees<BR>\n" );
document.write( "b = 59.6 degrees<BR>\n" );
document.write( "c = 71.6 degrees </SPAN>\n" );
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