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A person who is 68 inches tall casts a shadow that is 54 inches long. At the same moment, a tree casts a shadow that is 18 feet long. What is the height of the tree in feet?

Answer :

Answer:

22.67 ft is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be [tex]x.[/tex]

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, [tex]x[/tex] is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

[tex]\frac{68}{54} =\frac{x}{18}[/tex]

By cross multiplying we get:

[tex]1224=54x[/tex]

Dividing both sides by 54 we get:

[tex]22.67=x[/tex]

[tex]x=22.67\ ft.[/tex]

Therefore, the height of the tree is 22.67 ft.

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