document.write( "Question 1199063: An airplane is sighted at the same time by two ground observers who are 19.4 miles apart and both directly west of the airplane. They report the angles of elevation as 12° and 34° . How high is the airplane? \n" ); document.write( "
Algebra.Com's Answer #832936 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
An airplane is sighted at the same time by two ground observers who are 19.4 miles apart and both directly west of the airplane. They report the angles of elevation as 12° and 34° . How high is the airplane?
\n" ); document.write( "
.\r\n" );
document.write( "Let height of airplane, or AD be h\r\n" );
document.write( "With ∡ACD being 34o, ∡ACB = 180 - 34 = 146o. \r\n" );
document.write( "As ∡ACD are 34o and 146o, respectively, ∡BAC = 180 - (12 + 146) = 180 - 158 = 22o.\r\n" );
document.write( "\r\n" );
document.write( "Using the Law of Sines, we get: \r\n" );
document.write( "                           AB * sin (22o) = 19.4 * sin (146o) ---- Cross-multiplying\r\n" );
document.write( "                                      \r\n" );
document.write( "\r\n" );
document.write( "              Now we can say that: \"matrix%281%2C5%2C+sin+%28B%29%2C+%22=%22%2C+O%2FH%2C+%22=%22%2C+AD%2FAB%29\"\r\n" );
document.write( "                                \"matrix%281%2C3%2C+sin+%2812%5Eo%29%2C+%22=%22%2C+h%2F29%29\" \r\n" );
document.write( "            Height of airplane, or
\n" ); document.write( "
\n" );