SOLUTION: A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 23 d

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Question 770884: A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 23 degrees. What is the length of the shadow? Round to the nearest tenth. I think the answer is 45.
Answer by stanbon(75887) About Me  (Show Source):
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A large totem pole near Kalama, Washington, is 106 feet tall. At a particular time of day, the angle of elevation to the top of the pole from the end of the shadow it casts is 23 degrees. What is the length of the shadow? Round to the nearest tenth. I think the answer is 45.
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Draw the picture.
You have a right triangle with base angle = 23 degrees and height = 106 ft.
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Solve for the base of the triangle::
tan(23) = height/base
base = height/tan(23)
base = 106/tan(23)
base = 249.72 ft. (length of the shadow)
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Cheers,
Stan H.
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