math

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?

asked by anonymus
  1. 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

    posted by jerome
  2. 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.

    posted by Steve
  3. got me numbers mixed up, sorry

    posted by jerome
  4. replace 12 with 17.5

    posted by jerome

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