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Math Help - Barometer and Shadow problems

  1. #1
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    Barometer and Shadow problems

    I can look out my window and see the top of a television transmitter tower. On the map, I see that it is 2 miles away. I read somewhere that the tower is 500 feet tall. As I look at the tower, I see that the very top leaves of a tree sometimes get in the way of the top of the tower. The tree is 50 yards from where I sit. How tall is the tree?



    2*500/50

    ???
    Last edited by GeoBlockage; April 1st 2009 at 12:29 PM.
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  2. #2
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    Quote Originally Posted by GeoBlockage View Post
    I can look out my window and see the top of a television transmitter tower. On the map, I see that it is 2 miles away. I read somewhere that the tower is 500 feet tall. As I look at the tower, I see that the very top leaves of a tree sometimes get in the way of the top of the tower. The tree is 50 yards from where I sit. How tall is the tree?



    2*500/50

    ???
    similar right triangles ... set up a proportion

    \frac{tower \, height}{distance \, to \, tower} = \frac{tree \, height}{distance \, to \, tree}

    remember that all heights/distances have to be in the same units.
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