SOLUTION: During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 75° 12 feet from its base. How tall was the pole before th

Algebra ->  Trigonometry-basics -> SOLUTION: During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 75° 12 feet from its base. How tall was the pole before th      Log On


   



Question 946265: During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 75° 12 feet from its base.
How tall was the pole before the windstorm?
Round your answer to one decimal place and show steps.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 75° 12 feet from its base.
How tall was the pole before the windstorm?
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Draw the picture::
You have a right triangle with::
angle are vertex = 75 degrees
base = 12 feet
height = h
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Equation:
tan(75 degrees) = 12/h
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h = 12/tan(75)
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h = 3.22 feet
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Ans: Total height of the pole:: 3.22 + 12 = 15.22 feet
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Cheers,
Stan H.
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