Question

A building has a shadow that is 18 feet long. Will is 5 feet tall, and he is standing next to the building. Will has a shadow that is 3 feet long. Use this information to complete the statement about the building.

Answer 1

the answer is 30 feet

Answer 2

The height of the building is
`30\ ft`

Explanation:

Let

x--------> the height of the building

y------> the long of the shadow of the building

m----> the height of Will

n-----> the long of the shadow of Will

we know that

By proportion

`(x)/(y)=(m)/(n)`

we have

`y=18\ ft`

`m=5\ ft`

`n=3\ ft`

substitute the values

`(x)/(18)=(5)/(3)`

`3*x=18*5`

`x=30\ ft`