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Math Help - Story problem similar triangles

  1. #1
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    Story problem similar triangles

    A tree casts a shadow that measure 5 m. At the same time, a meter stick cast a shadow that is 0.4 long. How tall is the tree?
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  2. #2
    Member Ranger SVO's Avatar
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    Lets see if this helps
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Patience View Post
    A tree casts a shadow that measure 5 m. At the same time, a meter stick cast a shadow that is 0.4 long. How tall is the tree?
    The idea that Ranger SVO is using is that the triangle formed by the top, and base
    of the tree and the end of its Shadow is similar to the triangle formed
    by the top of the stick, the base of the stick and the end of the sticks shadow.

    This is because the angles at the base of the tree and stick are both right
    angles, and the other angles corresponding angles in the two triangles are
    also equal as they are angles formed between either vertical or horizontal lines
    and a limiting ray from the Sum. But the Sun is so distant that we assume
    that all rays from the sum are parallel.

    RonL
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