Answer:
The length of the shadow the telephone booth is <u>12 ft</u>.
Step-by-step explanation:
Given:
An adult elephant that is 10 ft tall casts a shadow that is 15 ft long.
The length of the telephone booth is 8 ft.
Now, to find the length of the shadow the telephone booth casts.
Let the length of the shadow the telephone booth be ![x.](https://tex.z-dn.net/?f=x.)
As given, an adult elephant that is 10 ft tall casts a shadow that is 15 ft long.
So, 10 ft is equivalent to 15 ft.
Thus, 8 ft is equivalent to ![x.](https://tex.z-dn.net/?f=x.)
Now, to get the length of the shadow of the booth we get cross multiplication method:
![\frac{10}{15} =\frac{8}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B15%7D%20%3D%5Cfrac%7B8%7D%7Bx%7D)
<em>By cross multiplying we get:</em>
![10x=120](https://tex.z-dn.net/?f=10x%3D120)
<em>Dividing both sides by 10 we get:</em>
![x=12.](https://tex.z-dn.net/?f=x%3D12.)
Therefore, the length of the shadow the telephone booth is 12 ft.