document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936688>Question 936688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a plane takes off and travels at an angle of 40 degrees north of east at 110 mph for 2 hours. it then adjusts its path to head 10 degrees west of north and travels in that direction for half an hour at a speed of of 100 mph.  Approximately how far was the plane from its starting point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570155 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> s = d/t<BR>\n" );
document.write( "d = st<BR>\n" );
document.write( "---<BR>\n" );
document.write( "first leg distance:<BR>\n" );
document.write( "b = 110*2 = 220 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "second leg distance:<BR>\n" );
document.write( "c = 100*1/2 = 50 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "angle A between legs b and c:<BR>\n" );
document.write( "40 + 80 = 120 degrees<BR>\n" );
document.write( "---<BR>\n" );
document.write( "use The Law of Cosines to find side a, the third side of the triangle:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "aa = bb + cc - 2bc cosA<BR>\n" );
document.write( "aa = 220*220 + 50*50 - 2*220*50*cos(120)<BR>\n" );
document.write( "a = sqrt( 220*220 + 50*50 - 2*220*50*cos(120) )<BR>\n" );
document.write( "a = 248.797106092<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "249 miles<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );