Question

an adult elephant that is 10ft tall casts a shadow that is 15ft long. find the length of the shadow that a 8ft telephone booth casts​

Answer 1

The length of the shadow the telephone booth is 12 ft.

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.`

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.`

Now, to get the length of the shadow of the booth we get cross multiplication method:

`(10)/(15) =(8)/(x)`

By cross multiplying we get:

`10x=120`

Dividing both sides by 10 we get:

`x=12.`

Therefore, the length of the shadow the telephone booth is 12 ft.