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8 November, 23:27

A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet. How tall is the tree? 8 feet 14 feet 78 feet 98 feet

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  1. 8 November, 23:28
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    Let the height of the tree = X

    Now set up a ratio the height of the man over the height of his shadow = the height of the tree over the length of its shadow:

    7 ft / 2 ft = X / 28 ft

    Now cross multiply the fractions:

    7 * 28 / 2 * X = 196 / 2X

    X = 196 / 2

    X = 98

    The tree is 98 feet tall
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