SOLUTION: How do I solve this word problem? height of the tower A water tower is located 325ft from a building. From a window in the building, an observer notes that the angle of elevation

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Question 1165116: How do I solve this word problem?
height of the tower
A water tower is located 325ft from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39 degrees and the angle of depression to the bottom of the tower is 25 degrees. How tall is the tower? How high is the window?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Draw and label all the parts. You have two right triangle. upper leg plus lower leg will be the length the question asks.


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Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
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How do I solve this word problem?
height of the tower
A water tower is located 325 ft from a building. From a window in the building, an observer notes that
the angle of elevation to the top of the tower is 39 degrees and the angle of depression to the bottom
of the tower is 25 degrees. How tall is the tower? How high is the window?
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The height of the tower is  

    H%5Btower%5D = 325*tan(39°) + 325*tan(25°).


The height of the window over the ground surface is  

    H%5Bwindow%5D = 325*tan(25°).

Ignore any other answer.