a tree stands 15 ft high. it’s shadow is 5 1/2 ft long. a man 6 ft tall stands near the tree. what would be the length of the man’s shadow t

Question

a tree stands 15 ft high. it’s shadow is 5 1/2 ft long. a man 6 ft tall stands near the tree. what would be the length of the man’s shadow to the nearest foot.

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Piper 3 weeks 2021-10-04T18:41:12+00:00 1 Answer 0

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    2021-10-04T18:42:29+00:00

    The length of the man’s shadow is 2.2 feet.

    Step-by-step explanation:

    Let, the height of the tree = l_{1} = 15 feet

    Length of the shadow of the tree = s_{1} = 5.5 feet

    Height of the man= l_{2} = 6 feet

    Length of the shadow of the man= s_{2} = ?

    Ratio of length of objects = ratio of lengths of their shadows

    \frac{l_{1} }\frac{l_{2} } = \frac{s_{1} }\frac{s_{2} }

    \frac{15}{6}= \frac{5.5}{s_{2}}

    \frac{5}{2} = \frac{5.5}{s_{2}}

    5s_{2} = 5.5 × 2

    s_{2} = \frac{5.5 X 2}{5}= 2.2 Feet

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