document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091632>Question 1091632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "a ship travels 45 km in a direction with a bearing of 132 degrees. How far south of its starting point<BR>\n" );
document.write( "is the ship.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706068 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a bearing of 132 degrees is an angle that is clockwise from north.<BR>\n" );
document.write( "that would be angle NAB in the picture.\r<BR>\n" );
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document.write( "AB is the distance the ship travels along that direction.\r<BR>\n" );
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document.write( "BC is the line formed by extending a horizontal line from B to the north south line of NC.\r<BR>\n" );
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document.write( "48 degrees is angle CAB which is the supplement to angle NAB.\r<BR>\n" );
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document.write( "the triangle formed is ABC.\r<BR>\n" );
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document.write( "angle BAC is 48 degrees.<BR>\n" );
document.write( "angle BCA is 90 degrees.<BR>\n" );
document.write( "angle ABC is complement to BAC = 90 - 48 = 42 degrees.\r<BR>\n" );
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document.write( "the line AC is how far south the ship is.<BR>\n" );
document.write( "the line AB is the distance the ship traveled and also the hypotenuse of right triangle ACB.\r<BR>\n" );
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document.write( "cos(48) = AC / AB.<BR>\n" );
document.write( "AC = AB * cos(BAC) = 45 * cos(48) = 30.11 rounded to 2 decimal place.\r<BR>\n" );
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document.write( "sin((ABC) = AC / AB.<BR>\n" );
document.write( "AC = AB * sin(ABC) = 45 * sin(42) = 30.11 rounded to 2 decimal places.\r<BR>\n" );
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document.write( "either way you get AC= 30.11 kilometers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/082701.jpg\" alt = \"$$$\" </>\r<BR>\n" );
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