document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453203>Question 453203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane is flying at a velocity of 450 mph  due east when it encounters a wind blowing from the southwest at 35 mph.\r<BR>\n" );
document.write( "\n" );
document.write( "-What is the the planes velocity relative to the ground?<BR>\n" );
document.write( "- In what direction is it flying as a result of the wind? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311413 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=311413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Due east is 090 degrees.<BR>\n" );
document.write( "From the southwest is a wind from 225 degrees.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "The vector of the plane is 450 to the right.<BR>\n" );
document.write( "The wind is magnitude 35 at an angle of 135 degs from the plane's vector.<BR>\n" );
document.write( "The plane's ground speed = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28450%5E2+%2B+35%5E2+-+2%2A450%2A35%2Acos%28135%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28450%5E2+%2B+35%5E2+-+2%2A450%2A35%2Acos%28135%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=~ 483.89 mph<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Use the Law of Sines to find the angle between 090 and the ground track<BR>\n" );
document.write( "483.89/sin(135) = 35/sin(A)<BR>\n" );
document.write( "sin(A) = 35*sin(135)/483.89<BR>\n" );
document.write( "sin(A) = 0.051145<BR>\n" );
document.write( "A = 2.93 degs<BR>\n" );
document.write( "Heading = 090 - A = 087.07 degs<BR>\n" );
document.write( "= 087 to the nearest degree<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );