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The distance from Ship B to the signal fire at point C is
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,
Now, we shall solve the problem using the law of sines,
Substituting the values, we have,
Simplifying, we get,
Thus, the distance from Ship B to the signal fire at point C is
