SOLUTION: Was told I used Tan incorrectly.. 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.

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Question 946528: Was told I used Tan incorrectly..
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 josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

You want to be able to find the sum of the remaining vertical piece and the hypotenuse piece.

x=12
y, unknown
h, unknown hypotenuse




Realize, the parts of x, y, and h form a right-triangle and you can find h using Pythagorean Theorem.





Now, you want to know the sum of y and h, the full length of the flag pole before it broke.


and should simplify,


Approximation for the tan function of 75 degrees,
tan(75)=3.7320

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