document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543470>Question 543470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two boats leave the harbour at the same time. Boat A travels at 32km/h on a bearing of 125 degrees and boat B travels at 18km/h on a bearing of 205 degrees\r<BR>\n" );
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document.write( "After 3 hours\r<BR>\n" );
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document.write( "How far apart are the boats?\r<BR>\n" );
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document.write( "In what direction would the skipper of boat B have to look to see boat A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355531 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=355531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two boats leave the harbour at the same time. Boat A travels at 32km/h on a bearing of 125 degrees and boat B travels at 18km/h on a bearing of 205 degrees <BR>\n" );
document.write( "After 3 hours <BR>\n" );
document.write( "How far apart are the boats? <BR>\n" );
document.write( "In what direction would the skipper of boat B have to look to see boat A?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Draw a triangle with the apex representing the starting point where the boats left the harbor. Call this point C. From this point C, extend a 96 km line at a bearing of 125º. Call this point A.<BR>\n" );
document.write( "Also from point C, extend a 54 km line at a bearing of 205º. Call this point B. Draw a line connecting points A and B which is the distance(c) between boats A and B. You now have a triangle with two sides, CB and CA and their included angle of 80º.  Solve with law of cosines:<BR>\n" );
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document.write( "Law of cosines: c^2=a^2+b^2-2*a*b cos80º<BR>\n" );
document.write( "c^2=54^2+96^2-2*54*96 cos80º<BR>\n" );
document.write( "c^2=2916+9216-10368 cos80º<BR>\n" );
document.write( "c^2=12432-1800.38=10631.62<BR>\n" );
document.write( "c=&#8730;10631.62&#8776;103.11 km<BR>\n" );
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document.write( "sin B/96=sine C/103.11=sin 80º/103.11<BR>\n" );
document.write( "sin B=(96/103.11)*sin80º=.917<BR>\n" );
document.write( "B&#8776;66.5º<BR>\n" );
document.write( "Bearing of boat A from boat B=25+66.5=91.5º<BR>\n" );
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document.write( "ans:<BR>\n" );
document.write( "The boats are 103.11 km apart after 3 hours.<BR>\n" );
document.write( "The  skipper of boat B must look to see boat A at a bearing of 91.5º<BR>\n" );
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document.write( "please check my calculations </SPAN>\n" );
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