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March 27, 2017

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Will is five feet tall. He casts a 3 feet shadow at the same time that a tree casts a 9 feet shadow. Use similar triangles to find the height of the tree.

  • Math - ,

    the man is 5/3 as big as his shadow
    so, the tree is 5/3 as big as its shadow

    5/3 * 9 = 15

    Or, without even knowing the ratio, note that since the tree's shadow is 3 times as long as the man's, the tree is 3 times as tall as the man: 15 ft.

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