Question

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

Answer 1

Check the picture below.

Answer 2

Answer: 366 feet

Explanation:

First since Nicole is standing right next to the statue of liberty it can be concludes that the ratio of her height to her shadow length is also the same as the ratio of the statue of liberty's height to its shadow length

Labelling the shadow height of the statue of liberty which we are to find by x

The ratio of Nicole's height to her shadow length = 5/6

And the ratio of the statue of liberty's height to its shadow length = 305/x

Equation these two expressions

5/6 = 305/x

Cross multiplying

5x = 305(6)

5x = 18360

Dividing both sides by 5

x = 1830/5

x = 366

So therefore, the length of the shadow of the statue of liberty is 366