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Question 79657This question is from textbook geometrry reasoning
: A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees.
a. Draw a diagram to represent this situation.
b. To the nearest foot, how far is the fire from the base of the tower? Show the steps you use to find the solution.
This question is from textbook geometrry reasoning
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees.
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Draw the picture.
The angle of depression looking from the tower is the same as the angle
of elevation looking at the top of the tower from the spot of the fire.
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So, tan(12 degrees)= 21/distance between tower and fire
distance = 21/tan(12) = 98.8 ft
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Cheers,
Stan H.
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