document.write( "Question 269111: An airplane flies 180 miles from point X at a bearing of 125 degrees, and then turns and flies at a bearing of 230 degrees for 100 miles. How far is the plane from point X?
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Algebra.Com's Answer #197277 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We want to calculate the length of the green line D.\r\n" );
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document.write( "We will have two sides and the included angle if we can figure\r\n" );
document.write( "out what the angle indicated by the red arc is.\r\n" );
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document.write( "The bottom part of the 125° angle below the horizontal is \r\n" );
document.write( "125°-90° or 35°.  By alternate interior angles it is\r\n" );
document.write( "equal to the top part of the angle indicated by the red arc,\r\n" );
document.write( "which is above the horizontal. And we can calculate the\r\n" );
document.write( "bottom part of that angle by subtracting 270°-230°=40°.\r\n" );
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document.write( "So the angle indicated by the red arc is 35°+40° or 75°.\r\n" );
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document.write( "Now we can use the law of cosines to find the length of the\r\n" );
document.write( "green line D.\r\n" );
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document.write( "or 190 miles to the nearest 10 miles, as the other two distances\r\n" );
document.write( "seem to be rounded to, or 191 to the nearest mile.  How you round\r\n" );
document.write( "the answer depends on what your teacher tells you.\r\n" );
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document.write( "Edwin

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