The amount of distance to be travelled and the heading of travel.
Explanation of Solution
Given information:
The distance between Mapleton to Logan beach is
The plane first flies
Calculations:
To get the distance and bearing between them, first we draw the velocity diagram.
Here AB denotes the distance that has to be travelled by the plane. Its magnitude is
Here AC denotes the distance first travelled by the plane. Its magnitude is
Therefore the remaining distance that has to be travelled is AC. From the diagram we can see that
Let ,
Now to determine BC we have to apply cosine law.
Therefore,
Now to find the course of bearing we have to use law of sine.
Thus the distance between the two ships is
Chapter 14 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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