document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201614>Question 1201614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane flies 200 km on a bearing of 335°. It then flies 100 km on a bearing of 170° and 400 km on 280°, and lands.\r<BR>\n" );
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document.write( "a) How far is the airplane from its starting point when it lands?\r<BR>\n" );
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document.write( "b) On what bearing could it have flown to complete its journey directly? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836147 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An airplane flies 200 km on a bearing of 335°. It then flies 100 km on a bearing of 170° and 400 km on 280°, and lands.\r<BR>\n" );
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document.write( "a) How far is the airplane from its starting point when it lands?\r<BR>\n" );
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document.write( "b) On what bearing could it have flown to complete its journey directly?<BR>\n" );
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document.write( "Label the starting point A, then B, then C, then D.<BR>\n" );
document.write( "AB = 200 at 125 degs wrt the x-axis.<BR>\n" );
document.write( "x component = 200*cos(125)<BR>\n" );
document.write( "y component = 200*sin(125<BR>\n" );
document.write( "===<BR>\n" );
document.write( "BC = 100 at 280 degs wrt the x-axis.<BR>\n" );
document.write( "x component = 100*cos(280), y component = 100*sin(280)<BR>\n" );
document.write( "===<BR>\n" );
document.write( "CD = 400 at 170 degs wrt the x-axis<BR>\n" );
document.write( "x component = 400*cos(170), y component = 400*sin(170)<BR>\n" );
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document.write( "Add the x-comps and the y-comps to find the point D<BR>\n" );
document.write( "Find the distance and angle from the Origin to D.<BR>\n" );
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document.write( "An Excel sheet can be used to do this.<BR>\n" );
document.write( "PS  To convert headings to degs wrt the x-axis, use 450 degs minus the heading MOD 360.<BR>\n" );
document.write( "PPS  You can waste your life doing this one with triangles.  Use vectors. </SPAN>\n" );
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