Concept explainers
The ground speed and true course bearing of a plane.
Explanation of Solution
Given information:
A plane’s air speed is
Wind of
Calculations:
To get the ground speed and true course bearing, first we draw the velocity diagram.
Here AB denotes the plane’s air speed. Its magnitude is
Here BC denotes the wind speed. Its magnitude is
Therefore the resultant speed is AC. From the diagram we can see that
Let ,
Now to determine AC we have to apply cosine law.
Therefore,
Now to find the course of bearing we have to use law of sine.
Thus the ground speed of the plane is
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Algebra and Trigonometry: Structure and Method, Book 2
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