SOLUTION: A ranger spots a forest fire while standing on a 24-meter observation tower. The angle of depression from the tower to the fire is 30 degrees. To the nearest meter, how far is the
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Question 770889: A ranger spots a forest fire while standing on a 24-meter observation tower. The angle of depression from the tower to the fire is 30 degrees. To the nearest meter, how far is the fire from the base of the tower? Is the answer 41.56? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A ranger spots a forest fire while standing on a 24-meter observation tower. The angle of depression from the tower to the fire is 30 degrees. To the nearest meter, how far is the fire from the base of the tower? Is the answer 41.56?
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Draw the picture.
You have a right triangle with base angle = 30 degrees and height = 24 meters.
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Find the base.
tan(30) = height/base
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base = height/tan(30) = 24/tan(30) = 4.57 meters
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You are correct.
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Cheers,
Stan H.
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