Answer:
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.