Question

Two trees standing side by side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree casts a 18-foot shadow, what is the length in feet of the shadow of the shorter tree

Answer 1

Given:

Length of taller tree = 50 feet

Length of shorter tree = 20 feet

Length of shadow of taller tree = 18 feet

To find:

The length of shadow of shorter tree.

Solution:

Since, two trees standing side by side in the sunlight, therefore the length of trees are proportional to their shadows.

Let the length of shadow of shorter tree be x feet.

Using the given information, we get

`(50)/(18)=(20)/(x)`

By cross multiplication, we get

`50* x=20* 18`

`50x=360`

`x=(360)/(50)`

`x=7.2`

Therefore, the length of shadow of shorter tree is 7.2 feet.