document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314751>Question 314751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ship is traveling at a abearing of 60 degrees for 3 miles then turns and travels at a bearaing of 150 degres for 2 miles then returns to where it started.  Find the distance traveled by the ship.\r<BR>\n" );
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document.write( "I am having a hard time even starting this problem.  I tried drawing a 30 degree angle (using \"North\" as the terminal side and the 3 miles along the side that I drew going northeast).  I thought I would use the Law of Sines or Cosines but I can't even begin the problem!\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225133 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Break up the ship's travel into x and y components.<BR>\n" );
document.write( "3 miles at 60=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2Acos%2860%29 ALIGN=MIDDLE  ALT=\"+3%2Acos%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asin%2860%29 ALIGN=MIDDLE  ALT=\"3%2Asin%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5 ALIGN=MIDDLE  ALT=\"1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.598 ALIGN=MIDDLE  ALT=\"2.598\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "2 miles at 150=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Acos%28150%29 ALIGN=MIDDLE  ALT=\"2%2Acos%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asin%28150%29 ALIGN=MIDDLE  ALT=\"2%2Asin%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.732 ALIGN=MIDDLE  ALT=\"-1.732\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.0 ALIGN=MIDDLE  ALT=\"1.0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "At this point the ship's position is <BR>\n" );
document.write( "(1.5-1.732,2.598+1.0)=(-0.232,3.598)<BR>\n" );
document.write( "In order to return back the ship will have to travel <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.232 ALIGN=MIDDLE  ALT=\"0.232\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the x, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3.598 ALIGN=MIDDLE  ALT=\"-3.598\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the y. The total distance is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%280.232%29%5E2%2B%283.598%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%280.232%29%5E2%2B%283.598%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=sqrt%2813%29=3.606 ALIGN=MIDDLE  ALT=\"D=sqrt%2813%29=3.606\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total distance the ship travels is then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Dt=3%2B2%2BD=5%2Bsqrt%2813%29=8.606 ALIGN=MIDDLE  ALT=\"+Dt=3%2B2%2BD=5%2Bsqrt%2813%29=8.606\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles </SPAN>\n" );
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