document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155862>Question 155862</A>: <I><SPAN STYLE=\"word-break: break-all;\">  From a lighthouse L an aircraft carrier A is 15km away on a bearing of 112 degrees and a submarine S is 26 km away on a bearing of 200 degrees. Find\r<BR>\n" );
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document.write( "a) the distance between A and S\r<BR>\n" );
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document.write( "b) the bearing of A from S\r<BR>\n" );
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document.write( "Please I need desperate help...its due later today!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114814 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=114814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From a lighthouse L an aircraft carrier A is 15km away on a bearing of 112 degrees and a submarine S is 26 km away on a bearing of 200 degrees. Find <BR>\n" );
document.write( "a) the distance between A and S <BR>\n" );
document.write( "b) the bearing of A from S <BR>\n" );
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document.write( "Sketch it, and you'll see that the angle ALS is 88 degs (200 - 112).<BR>\n" );
document.write( "Use the law of cosines to find side AS.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2+-+2ab%2Acos%2888%29 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%5E2+-+2ab%2Acos%2888%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+15%5E2+%2B+26%5E2+-+2%2A15%2A26%2Acos%2888%29 ALIGN=MIDDLE  ALT=\"c%5E2+=+15%5E2+%2B+26%5E2+-+2%2A15%2A26%2Acos%2888%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+225+%2B+676+-+780%2A0.0348995 ALIGN=MIDDLE  ALT=\"c%5E2+=+225+%2B+676+-+780%2A0.0348995\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+873.778... ALIGN=MIDDLE  ALT=\"c%5E2+=+873.778...\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 29.5597 (distance AS)<BR>\n" );
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document.write( "Now find the angle LAS by the law of sines<BR>\n" );
document.write( "sin(LAS)/26 = sin(88)/29.5597<BR>\n" );
document.write( "Angle LAS = 61.53 degs<BR>\n" );
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document.write( "The heading from the AC to the Lighthouse is 112 + 180 = 292<BR>\n" );
document.write( "Subtract 61.53 from that, for a heading of<BR>\n" );
document.write( "230.47, just slightly west of southwest.<BR>\n" );
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