contestada

Tree has a shadow that is 9 feet long what us is 4 feet tall and a standing next to the tree that is has a shadow that is 4.5 feet long how tall is the tree

Respuesta :

Answer:

The tree that is has a shadow that is 4.5 feet long is 2 feet long.

Step-by-step explanation:

We are given the shadow of the tree = 9 feet long.

The height of the tree is = 4 feet.

Let us assume the tree with shadow 4.5 feet is h feet high.

Setting proportion now,

[tex]\frac{Height \ of \ first \ tree}{Shadow \ of \ first \ tree } =\frac{Height \ of \ second \ tree}{Shadow \ of \ second \ tree }[/tex].

Plugging values, we get

[tex]\frac{4}{9}=\frac{h}{4.5}[/tex]

On cross multiplication, we get

4×4.5=h×9

18=9h

Dividing both sides by 9, we get

[tex]\frac{18}{9} =\frac{9h}{9}[/tex]

h=2.

Therefore, the tree that is has a shadow that is 4.5 feet long is 2 feet long.