document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130256>Question 1130256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for your help! I was really struggling with this problem:\r<BR>\n" );
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document.write( "Two planes take off from the same airport at the same time using different runways. One plane travels on a bearing  S 15 degrees W at 250 miles per hour. The other plane travels on a bearing<BR>\n" );
document.write( " N 75 degrees  E at 300 miles per hour. How far are the planes from each other 2 hours after&#8203; takeoff?\r<BR>\n" );
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document.write( "Answer: The distance is approximately ___ miles ( round to the nearest mile as needed)\r<BR>\n" );
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document.write( "THANK YOU AGAIN FOR YOUR HELP!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746940 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> my diagram is shown below.<BR>\n" );
document.write( "once you have figured out how to draw the diagram, the rest is application of the law of cosines for angle C.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/112901.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "that law is:\r<BR>\n" );
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document.write( "c^2 = a^2 + b^2 - 2 * a * b * cos(C)\r<BR>\n" );
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document.write( "side b is equal to 2 * 250 = 500 miles.<BR>\n" );
document.write( "side a is equal to 2 * 300 = 600 miles.\r<BR>\n" );
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document.write( "angle ACS is 15 degrees west of south.\r<BR>\n" );
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document.write( "angle NCB is 75 degrees east of north.\r<BR>\n" );
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document.write( "since angle NCE is 90 degrees, angle BCE is 15 degrees.\r<BR>\n" );
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document.write( "angle SCE is 90 degrees.\r<BR>\n" );
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document.write( "therefore angle ACB is equal to 15 + 90 + 15 = 120 degrees.\r<BR>\n" );
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document.write( "the rest is application of the law of cosines to get c = 954 miles.\r<BR>\n" );
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document.write( "that's the distance between the 2 planes after 2 hours.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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