document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107725>Question 1107725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ship A is due west of a lighthouse. ship B is 12 km southof ship A. from ship B, the bearing to the lighthouse is N63°20'E, how far is ship A from the lighthouse? answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722748 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=722748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the lighthouse and ship A and ship B make a right triangle as shown below:\r<BR>\n" );
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document.write( "that triangle is labeled ABC, where C is the position of the lighthouse.\r<BR>\n" );
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document.write( "from ship B, the bearing to the lighthouse is north 63 degrees 20 minutes east.\r<BR>\n" );
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document.write( "63 degrees 20 minutes is equal to 63 and 1/3 degrees because 20 seconds / 60 = 1/3 minutes.\r<BR>\n" );
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document.write( "that angle is shown in the following diagram.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/012803.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "tangent of 63 and 1/3 degrees is equal to opposite side divided by adjacent side.\r<BR>\n" );
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document.write( "that makes tangent of 63 and 1/3 degrees = x / 12.\r<BR>\n" );
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document.write( "multiply both sides of this equation by 12 to get 12 * tan(63 and 1/3) = x\r<BR>\n" );
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document.write( "solve for x to get x = 23.89396451\r<BR>\n" );
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document.write( "here's a reference on bearing you might find helpful.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.mathsteacher.com.au/year10/ch15_trigonometry/11_directions/23dir.htm\" target = \"_blank\">http://www.mathsteacher.com.au/year10/ch15_trigonometry/11_directions/23dir.htm<a>\r<BR>\n" );
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document.write( "your north line in the diagram is represented by the line segment AB. </SPAN>\n" );
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