document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316091>Question 316091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The instruments of an airplane show a speed of 165 mph on a heading of 210degrees. However, the computer shows a ground speed of 178 mph on a heading of 212degrees. Find the speed and direction of the wind.\r<BR>\n" );
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document.write( "Thanks you so much for helping me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226117 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> resolving the airspeed and ground speed into their x and y components will allow you to find the wind speed components\r<BR>\n" );
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document.write( "remember to convert the compass heading to degrees on the unit circle\r<BR>\n" );
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document.write( "Ax = 165 * cos(240º) = -82.5\r<BR>\n" );
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document.write( "Ay = 165 * sin(240º) = -142.89 (approx)\r<BR>\n" );
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document.write( "Gx = 178 * cos(238º) = -94.33 (approx)\r<BR>\n" );
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document.write( "Gy = 178 * sin(238º) = -150.95 (approx)\r<BR>\n" );
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document.write( "Wx = Gx - Ax = -11.83\r<BR>\n" );
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document.write( "Wy = Gy - Ay = -8.06\r<BR>\n" );
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document.write( "W = sqrt(Wx^2 + Wy^2) = 14.31 (approx)\r<BR>\n" );
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document.write( "&#920; = tan^-1(Wy / Wx) = 214.27º (approx)\r<BR>\n" );
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document.write( "the heading of the wind is 235.73º (approx) </SPAN>\n" );
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