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Finding the distance between two fire towers

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A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees. How far from tower A is the fire? From tower B?

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This is a problem of geometry. I have shown each and every step of solving this problem.

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A ranger in fire ...

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