document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022322>Question 1022322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane is flying 400 miles per hour due North (Theta Angle is 90 degrees).  A wind suddenly blows at 50 miles per hour from the West to the East (Theta Angle is 0 degrees)\r<BR>\n" );
document.write( "\n" );
document.write( "What will be the new velocity of the plane, Angle Alpha & Angle Theta.  \r<BR>\n" );
document.write( "\n" );
document.write( "New velocity of plane is [1]\r<BR>\n" );
document.write( "\n" );
document.write( "Angle Alpha is [2]\r<BR>\n" );
document.write( "\n" );
document.write( "Angle Theta is [3]<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638104 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Addition of the two vectors; that of the plane and that of the wind.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(400*cos(90),400*sin(90))+(50*cos(0),50*sin(0))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "( 400*cos(90)+50*cos(0), 400*sin(90)+50*sin(0) )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(0+50, 400+0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "( 50, 400 )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can use this to find the angle, and to find the size of the rate.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Size of the rate, or speed, is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%5E2%2B400%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%5E2%2B400%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "and the angle is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2840%2F5%29=tan%288%29 ALIGN=MIDDLE  ALT=\"tan%2840%2F5%29=tan%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, meaning <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arctan%288%29 ALIGN=MIDDLE  ALT=\"arctan%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "83.9 degrees North of Eastward.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );