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Thread: Trig angle of elevation problem

  1. #1
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    Trig angle of elevation problem

    A bit confused with this problem can anyone help?
    The angle of elevation to the top of a building changes from 25 degrees to 50 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
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  2. #2
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    Re: Trig angle of elevation problem

    Quote Originally Posted by Danielleannxo View Post
    A bit confused with this problem can anyone help?
    The angle of elevation to the top of a building changes from 25 degrees to 50 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
    Suppose that $h$ is the height of the building and $d$ is the initial distance the observer is from that building.

    The from the given $\tan\left(25^o\right)=\dfrac{h}{d}~\&~\tan\left(5 0^o\right)=\dfrac{h}{d-75}$

    Now you solve for $h$.
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