SOLUTION: If the height of a pole is 75.4 ft, find the distance from the foot of the pole an observer must stand so that the angle of elevation to the top of the pole is 41 degrees.

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Question 1044495: If the height of a pole is 75.4 ft, find the distance from the foot of the pole an observer must stand so that the angle of elevation to the top of the pole is 41 degrees.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the height of a pole is 75.4 ft, find the distance from the foot of the pole an observer must stand so that the angle of elevation to the top of the pole is 41 degrees.
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Sketch the picture.
You have a right triangle with height = 75.4 ft and base angle = 41 degrees.
Find the base using tangent = height/base
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base = height/(tan(41) = 75.4/tan(41) = 86.74 ft
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Cheers,
Stan H.