An aeroplane leaving from Bismarck travels on a bearing of 120^o, | Filo
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Some Applications of Trigonometry

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An aeroplane leaving from Bismarck travels on a bearing of , as shown in the figure. If the plane flew at an average rate of miles per hour, how many minutes (approx) had it been in the air when it was miles from Pierre? 

Correct Answer: Option(a)
Solution: The angle that the plane makes with the line joining Bismarck and Pierre is
We thus have where is the distance flown by the plane.
That distance becomes
mi
Since the speed is miles per hour, the time becomes minutes
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