document.write( "Question 1131837: helicopter flies from the airport on a course with a bearing of 19degrees. After flying for 105 ​miles, the helicopter flies due east for some time. The helicopter flies back to the airport with a bearing of 223degrees. How far did the helicopter fly on the final leg of its​ journey? \n" ); document.write( "
Algebra.Com's Answer #748536 by ankor@dixie-net.com(22740)\"\" \"About 
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helicopter flies from the airport on a course with a bearing of 19degrees.
\n" ); document.write( " After flying for 105 ​miles, the helicopter flies due east for some time.
\n" ); document.write( " The helicopter flies back to the airport with a bearing of 223degrees.
\n" ); document.write( " How far did the helicopter fly on the final leg of its​ journey?
\n" ); document.write( ":
\n" ); document.write( "Draw this out and find the interior angles of the triangle formed by the course of the helicopter, starts at C, 105 mi to A
\n" ); document.write( "A: 19 + 90 = 109 degrees
\n" ); document.write( "B: 270-223 = 47 degrees
\n" ); document.write( "C: 108 - 109 - 47 = 24 degrees
\n" ); document.write( ":
\n" ); document.write( "a = final leg distance
\n" ); document.write( "b = 105 mi
\n" ); document.write( ":
\n" ); document.write( "Use the law of sines to find a
\n" ); document.write( "\"a%2Fsin%28109%29\" = \"105%2Fsin%2847%29\"
\n" ); document.write( ":
\n" ); document.write( "a = \"%28sin%28109%29%2A105%29%2F%28sin%2847%29%29\"
\n" ); document.write( "a = 135.7 mi
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