please help now pleasee A tree casts a shadow 7.5 feet long at the same time that a 5 foot tall woman casts a shadow 3 feet lon

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please help now pleasee

A tree casts a shadow 7.5 feet long at the same time that a 5 foot tall woman casts a shadow 3 feet long. How tall is the tree?

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Philomena 5 months 2021-08-27T04:29:47+00:00 1 Answers 3 views 0

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    2021-08-27T04:31:30+00:00

    Answer:

    The tree is 12.5ft Step-by-step explanation: 1.  TREE’S HEIGHT over TREE’S SHADOW equals WOMAN’S HEIGHT over WOMAN’S SHADOW

    2.  TREE’S HEIGHT over WOMAN’S HEIGHT equals TREE’S SHADOW over WOMAN’S SHADOW

    or some other ways as long as you pair them up by ‘height’, or pair them up by

    ‘shadow’.  {But don’t get them criss-crossed)

    Let TREE’s HEIGHT = t.

    A tree casts a shadow 7.5 ft long

    TREE’S SHADOW = 7.5

    at the same time that

    a woman 5 ft tall

    WOMAN’S HEIGHT = 5

    casts a shadow 3 ft long.

    WOMAN’S SHADOW = 3

    So if you use

    1.  TREE’S HEIGHT over TREE’S SHADOW equals WOMAN’S HEIGHT over WOMAN’S SHADOW

    cross-multiply:

    3t = 37.5

     t = 12.5

    or if you use

    2.cross-multiply

    3t = 37.5

     t = 12.5

    Either way, the tree is 12.5 feet tall.    

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