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7 July, 15:48

A man is trying to calculate the shadow of a 24 flag pole. He uses similar triangles by comparing his own height 5 ft to the length of his shadow 2.5. Set up the proportion and solve for the length of the pole's shadow.

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  1. 7 July, 16:11
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    The answer to your question is 12 ft

    Step-by-step explanation:

    Data

    Height of the flag pole = 24

    shadow of the flag pole = x

    height of the man = 5 ft

    shadow of the man = 2.5 ft

    Process

    1. - Use the Thales' theorem to solve this problem

    shadow of the flag pole/height of the flag pole = shadow of the man/height

    of the man

    - Substitution

    x/24 = 2.5/5

    - Solve for x

    x = 2.5 (24) / 5

    - Simplification

    x = 60/5

    -Result

    x = 12 ft
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