SOLUTION: 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 0.2mi

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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(52787)   (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): You can put this solution on YOUR website!
rate of 0.2miles/milliseconds.
-----
That's 200 miles/second
Radio waves travel at ~ 186,000 miles/second
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