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 58�. How

Question 287949: 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 58�. How far from tower B is the fire? (Hint: Draw a picture of this one.)
I need help with this problem. We can not get an answer from our instructor about how to solve it.
Thank you.
Carro
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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 58�. How far from tower B is the fire? (Hint: Draw a picture of this one.)
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This is a poorly worded problem which has no solution as it's presented.
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The only way it could be solved is if the angles are measures with respect to the 22 mile line between the 2 stations. That's not what it stated, it says the 32� and the 58� are directions.
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If the 2 angles are wrt to the 22 mile line between A and B:
It's a right triangle, so the distance from B to the fire is 22*sin(32)
=~ 11.66 miles

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