document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251374>Question 251374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.	In navigational terms, a bearing is defined as the number of degrees a direction is from due north clockwise.  If a plane flying 120 mph has flown 1 hour at a bearing of 32°, how far has it flown in a horizontal direction? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183058 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you truly mean \"a horizontal\" direction, meaning parallel to the horizon, then the answer is simply 120 mph times 1 hour = 120 miles.  On the other hand, given the discussion of the meaning of bearing, you mean \"an East-West\" direction, then you want the magnitude of the East-West velocity vector times 1 hour. For North-South\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_{NS}\ =\ V_T\cos\Theta\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE V_T\"> is the magnitude of the velocity vector in the direction of travel and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \Theta\"> is the bearing angle.  And for East-West:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_{EW}\ =\ V_T\sin\Theta\ =\  V_T\cos\left(90\,-\,\Theta\right) \">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Just whip out the calculator and make sure you are in Degrees mode.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );