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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)
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website! .
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.
So, I will replace it by "An aircraft traveling H miles above the ground".
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).
(I consider our Earth as a flat surface at this approach)
The condition gives you this "time" equation
 -  = 480 milliseconds.
The only unknown is x-coordinate of the plane. Find it from the equation.
Answer by Alan3354(69443)  (Show Source):
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