document.write( "Question 1143179: Two Radio Stations are located 150 miles apart,where station A is West of station B. Radio Signals are being transmitted simultaneously by both stations,travelling at rate of 0.2miles/milliseconds. A plane travelling at 60 miles above ground level has just passed by station B and is headed towards the other station. If the signal from B arrives at the plane 480 milliseconds before the signal sent from A,determine the location of the plane. (hyperbola) \n" ); document.write( "

Algebra.Com's Answer #763959 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "For me, it is very questionable moment \"A plane traveling 60 miles above the ground\", since I never saw and never heard about such a plane.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, I will replace it by \"An aircraft traveling H miles above the ground\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, we have two points A= (0,0), B = (150,0) in a vertical section,  and the aircraft is at the point P = (x,H).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (I consider our Earth as a flat surface at this approach)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The condition gives you this \"time\" equation\r\n" );
document.write( "\r\n" );
document.write( "     -  = 480  milliseconds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The only unknown is x-coordinate of the plane. Find it from the equation.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );