Question

The height of the Statue of Liberty is 305 feet. Nicole, who is standing next to the statue, casts a 6-foot shadow. She is 5 feet tall. How long should the shadow of the statue be?

Answer 1

Create a proportion.

`(5)/(6) = (305)/(x)\\`

This proportion is saying,

"If 5 corresponds to 6, then 305 corresponds to what?"

Cross multiply.

5x = 305(6)

5x = 1830

x = 1830 / 5

x = 366

So, the shadow of the statue should be 366 feet.