document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062333>Question 1062333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane travels 1000 miles on a bearing of 210°. Then, it changes to a bearing 270° and travels 500 miles. How far is the airplane from the starting point?\r<BR>\n" );
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document.write( "https://cds.flipswitch.com/tools/asset/media/573164\r<BR>\n" );
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document.write( "What is the measure of &#8736;ABC? \r<BR>\n" );
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document.write( "m&#8736;ABC= __________°\r<BR>\n" );
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document.write( "Which of the following laws would help you to find the length of AC¯?\r<BR>\n" );
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document.write( "Law of Cosines<BR>\n" );
document.write( "Law of Sines\r<BR>\n" );
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document.write( "How far is the airplane from the starting point? \r<BR>\n" );
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document.write( "AC&#8776; __________ miles\r<BR>\n" );
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document.write( "Enter your answer as the number rounded to the nearest hundredth that correctly fills in the blank in the previous sentence.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677210 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Angle ABC is 120 degrees.  Parallel lines perpendicular to the new course are cut by a transversal that was the first leg of the trip. That course is angled 30 degrees to the 180-360 degree line.  The other alternate interior angle is therefore 30 degrees, and that is added to the 90 degrees from due north that the plane is now flying.<BR>\n" );
document.write( "Law of Cosines: <BR>\n" );
document.write( "c^2=a^2+b^2-2ab cos C<BR>\n" );
document.write( "c^2=1000^2+500^2-2*1000*500*cos 120<BR>\n" );
document.write( "=1750000.<BR>\n" );
document.write( "c=1322.88 miles </SPAN>\n" );
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