SOLUTION: theo looking up at a building in the distance. the angle of elevation to the top of the building is 20. he walks 200 feet closer and re-measures the angle to be 24. how tall is the

Question 1083795: theo looking up at a building in the distance. the angle of elevation to the top of the building is 20. he walks 200 feet closer and re-measures the angle to be 24. how tall is the building? answer
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.

1.  Make a sketch.


2.  Recall what the tangent is (I mean the Trigonometry function tan).



3.  Let H be the height of the building.

    Then the longest distance from Theo to the building was .

    Next, the closest distance from Theo to the building was .


    Your equation is  = 200,   or

     = 200.


    Solve it for H:

    H = .



4.  You do the calculations.

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