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Math Help - Trig Word Problem

  1. #1
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    Trig Word Problem

    Hi, i am having trouble with this problem. A man is standing 35 m from a government building. on top of the building is a Canadian flag. From the man, the angle of elevation of the top of building is pie/6 radians and the angle of elevation of the top of the flag is pie/3 radians. Determine an exact expression for the distance from the top of the flag to the top of the building
    Last edited by Johnny123321; November 9th 2009 at 04:40 PM.
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  2. #2
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    Fill in the blanks:

    \tan\left[\frac{\pi}{6}\right] = ________________

    \tan\left[\frac{\pi}{3}\right] = ________________

    Thgougth Question: Does the height of the observer make any difference?
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  3. #3
    Member kjchauhan's Avatar
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    Suppose x is a hight of the pole of the flag and y be the hight of building,

    then the first equation..

    \tan\frac{\pi}{6}=\frac{y}{35}

    \therefore\frac{1}{\sqrt 3}=\frac{y}{35}

    \therefore y\sqrt 3=35

    \therefore y=\frac{35}{\sqrt3}


    and the second will

    \tan\frac{\pi}{3}=\frac{x+y}{35}

    \therefore\sqrt 3=\frac{x+y}{35}

    \therefore x+y = 35\sqrt 3

    \therefore x+\frac{35}{\sqrt3} = 35\sqrt 3

    \therefore x = 35\sqrt 3 - \frac{35}{\sqrt3}

    find this value, which is the hight of pole..
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