document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524976>Question 524976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The heading of a plane is 27.7 degrees NE, and its air speed is 255 mi.h.  If the wind is blowing from the south with a velocity of 42.0 mi/h, find the actual direction of travel of the plane, and its ground speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347989 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=347989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The heading of a plane is 27.7 degrees NE, and its air speed is 255 mi.h.  If the wind is blowing from the south with a velocity of 42.0 mi/h, find the actual direction of travel of the plane, and its ground speed.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E2+=+255%5E2+%2B+42%5E2+-+2%2A255%2A42%2Acos%28152.3%29 ALIGN=MIDDLE  ALT=\"g%5E2+=+255%5E2+%2B+42%5E2+-+2%2A255%2A42%2Acos%28152.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E2+=+85754.13 ALIGN=MIDDLE  ALT=\"g%5E2+=+85754.13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ground speed = 292.84 mi/hr<BR>\n" );
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document.write( "GS/sin(152.7) = 42/sin(A)  A = the angle betwee the heading and the ground track.<BR>\n" );
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document.write( "sin(A) = 42*sin(152.7)/GS<BR>\n" );
document.write( "A = 3.77 degs<BR>\n" );
document.write( "ground track = 27.7 - 3.77 = 23.93 degs, a heading of ~024<BR>\n" );
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document.write( "Never seen fractions of degrees used in aviation.<BR>\n" );
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document.write( "Update:<BR>\n" );
document.write( "Edwin got 3.82 degs, only slightly different from 3.77, not significant.<BR>\n" );
document.write( "But, he used the plane's heading as the x-axis, and so should have subtracted the 3.8... from the 27.7 heading to the the direction of the ground track.<BR>\n" );
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