document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984520>Question 984520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pilot is flying at an air speed of 241mph in a wind blowing 20.4mph from the east. In what direction must the pilot head in order to fly due north? What is the pilots speed relative to the ground? <BR>\n" );
document.write( "(Round the bearing to the nearest tenth of a degree and the speed to the nearest tenth of a mph.) \r<BR>\n" );
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document.write( "Enter your answer as (bearing, compass direction, speed), where compass direction is either E or W and the bearing is given in degrees.\r<BR>\n" );
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document.write( "Thank you kindly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605302 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=605302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pilot is flying at an air speed of 241mph in a wind blowing 20.4mph from the east. In what direction must the pilot head in order to fly due north? What is the pilots speed relative to the ground? <BR>\n" );
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document.write( "Make a right triangle.<BR>\n" );
document.write( "The hypotenuse is 241 at some angle East of due North.<BR>\n" );
document.write( "The wind is the short leg 20.4 in length.<BR>\n" );
document.write( "Use Pythagoras to find the groundspeed.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GS+=+sqrt%28241%5E2+-+20.4%5E2%29+=+240.1 ALIGN=MIDDLE  ALT=\"GS+=+sqrt%28241%5E2+-+20.4%5E2%29+=+240.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
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document.write( "The small angle = asin(20.4/241) =~ 4.856 degs<BR>\n" );
document.write( "--> A heading = 4.9 (due North is 360 or 000 degs) </SPAN>\n" );
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