Question

Derek sees that a 20 foot flagpole casts a 10 foot shadow. At the same time of day, if a nearby tree casts a 25 foot shadow, about how tall is the tree?

Answer 1

The height of the tree is 50 feet.

Explanation:

Consider the provided information.

It is given that a 20 foot flagpole casts a 10 foot shadow. At the same time of day, if a nearby tree casts a 25 foot shadow.

Let the height of the tree is
`x`.

The flagpole and its shadow and tree and its shadow form similar triangles.

We know that the corresponding sides are in proportion in similar triangles.

`(20)/(10)=(x)/(25)`

`(20* 25)/(10)= x`

`x=50`

Hence, the height of the tree is 50 feet.