SOLUTION: A ranger in fire tower A spots a fire at a direction of 32°. A ranger in fire tower B, which is 22 miles directly east of tower A, spots the same fire at a direction of 54°. How
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Question 245960: A ranger in fire tower A spots a fire at a direction of 32°. A ranger in fire tower B, which is 22 miles directly east of tower A, spots the same fire at a direction of 54°. How far from tower B is the fire?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Since the angle from point A is 32 degrees and the angle from point B is 54 degrees, the angle between the two towers from the point of view of the fire would have to be 180 - (32 + 54) = 94 degrees.
Use the Law of Sines:
}\ =\ \frac{b}{\sin(B)}\ =\ \frac{c}{\sin(C)})
So, you need to find the measure of side 
}\ =\ \frac{b}{\sin(54)}\ =\ \frac{22}{\sin(94)})
}\right)\sin(32))
Get out your calculator and make sure it is in Degree mode.
John
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