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Math Help - determining the elevation angle

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    determining the elevation angle

    if the length of the shadow of a flagpole 22 ft long is 8.4 ft., determine the angle of elevation of the sun.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by eepyej View Post
    if the length of the shadow of a flagpole 22 ft long is 8.4 ft., determine the angle of elevation of the sun.
    The angle of elevation will be the angle the suns rays make with the ground. These rays will be parallel to the hypotenuse of the right triangle formed by the 22 ft pole and the 8.4 ft shadow. So
    tan(\theta) = \frac{22~ft}{8.4~ft}
    What is \theta?

    -Dan

    Edit: Hehe. I got the measurements backward. Sorry about that. I have fixed it.
    Last edited by topsquark; July 3rd 2008 at 07:09 AM.
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    The angle of elevation ( \theta) can be calculated by trigonometry.

    \tan \theta = \frac{\text{Opposite}}{\text{Adjacent}}

    In this case, Opposite will be the flagpole. Adjacent will be the shadow. Insert the values into the formula and work out \theta.
    Attached Thumbnails Attached Thumbnails determining the elevation angle-diagram.jpg  
    Last edited by Simplicity; July 3rd 2008 at 06:46 AM. Reason: Attach Image
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