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26 September, 23:21

If a 40 foot tree cast a 16 foot shadow, what is the length of the shadow cast by a 27 foot tree?

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  1. 26 September, 23:28
    0
    this is a ratio:

    40/16 = 27/x

    cross multiply:

    40x = (16*27) =

    40x=432

    x = 432/40 = 10.8 feet
  2. 26 September, 23:30
    0
    I take it that we are to assume that the ratio between the actual length and the shadow length are directly proportional

    so therefor we set up the following proprtion

    actual height: shadow height=40ft:16ft

    we are given that the tree is actually 27ft

    so

    40ft:16ft=27ft:? ft

    make into a fraction

    40ft/16ft=27ft/? ft

    cross multiply or multiply both sides by 16? ft²

    40? ft²=432ft²

    divide both sides by 40ft

    ? ft=10.8ft

    the length of the shadow is therfore 10.8ft
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