The tree in your friend’s yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height

The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height of the tree?

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  1. The height of the tree is 30 feet

    Step-by-step explanation:

    Let

    h ----> the height of the tree

    we know that

    The tree casts a shadow that is 27 feet long

    Your friend is 5 feet tall and casts a shadow that is 4.5 feet long

    so

    using proportion

    Find out the height of the tree

    [tex]\frac{h}{27}=\frac{5}{4.5}\\\\h=27(5)/4.5\\\\h=30\ ft[/tex]

  2. 30 ft tall

    Step-by-step explanation: X= the height of the tree in feet

    27/x = 4.5/5

    (4.5)(x) = (27)(5)

    (4.5)(x) = 135

    divide  by 4.5 to isolate x

    135/4.5 = 30

    x = 30

    the tree is 30 ft tall

  3. Set the equation up as a proportion, where x = the height of the tree in feet
    27/x = 4.5/5
    cross multiply
    (4.5)(x) = (27)(5)
    (4.5)(x) = 135
    divide the entire equation by 4.5 to isolate x
    135/4.5 = 30
    x = 30
    the tree is 30 ft tall

  4. Proportion:- 

     27       4.5
    =  
      x          5

    x = height of tree.

    4.5 · x = 27 · 5
    4.5 · x = 135

    135 ÷ 4.5 = 30 

    SO,

    x = 30

    The tree is 30 ft long.

    Hope i helped ya!!

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