math

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If a person standing 5 feet tall casts a shadow 12 feet long, then how long is a tree's shadow if a tree stands 17.5 feet tall?

  • math -

    x=shadow length
    12/x=5/12
    5/12=0.417
    12/x=0.417
    12/0.416=28.8ft
    check:12/28.8=0.417

    28.8ft

  • math -

    the ratio of shadow/height is constant, so

    12/5 = x/17.5

    or, the height and shadow scale the same way, so since 17.5 is 3.5 times 5, the shadow will be 3.5 times 12 feet long.

  • math -

    got me numbers mixed up, sorry

  • math -

    replace 12 with 17.5

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