document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118829>Question 1118829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ship sails in the direction S 70 degrees W for 3 hours at 50km/h . It then changes direction to travel a bearing of 120 degrees for 4 hours at the same speed. Show with a diagram.\r<BR>\n" );
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document.write( "a) After 7 hours, how far is the ship from its original position? Express your answer to the  nearest whole kilometer.\r<BR>\n" );
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document.write( "b)To the nearest degree, what is the bearing of the final position of the ship from the original position?\r<BR>\n" );
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document.write( "Thank you<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 #734276 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\"><BR>\n" );
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document.write( "The turn from 70 west of south to bearing 120 is 130 degrees, hence Angle OAB is 50 degrees.  3 hours at 50 km/hr is 150 km, and 4 hours at 50 km/hr is 200 km.  With two sides and the included angle, use the Law of Cosines to calculate the measure of Segment OB, the current ship's displacement from the origin.\r<BR>\n" );
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document.write( "Then use the Law of Sines to calculate Angle AOB.  Subtract 70 degrees from Angle AOB, then subtract that difference from 180 degrees to obtain the final bearing.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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