Question

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

Answer 1

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

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,

`(Height \ of \ first \ tree)/(Shadow \ of \ first \ tree ) =(Height \ of \ second \ tree)/(Shadow \ of \ second \ tree )`.

Plugging values, we get

`(4)/(9)=(h)/(4.5)`

On cross multiplication, we get

4×4.5=h×9

18=9h

Dividing both sides by 9, we get

`(18)/(9) =(9h)/(9)`

h=2.

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