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16 December, 22:54

On level ground, a tree casts a shadow 36m long while a pole 9.0m

high casts a shadow 12m long. How tall is the tree?

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  1. 16 December, 23:22
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    Length (Tallness) of tree = 27 m

    Step-by-step explanation:

    Pole length = 9 m

    Pole shadow = 12 m

    Pole Shadow : Length Ratio = 12 : 9 = 4 : 3

    Tree shadow = 36 m

    As per 'Shadow : Length' ratio = 4 : 3

    36 : L = 4 : 3

    Reciprocal, L : 36 = 3 : 4

    L / 36 = 3 / 4

    L = (36 x 3) / 4 = 108 / 4

    Tree length = 27 m
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