Question

You are walking in downtown Chicago, when you notice that your shadow

is 10 feet long. If you are 5.5 feet tall, and it is known that the Willis Tower is1454 feet tall, how long is this building's shadow? (round to the nearest whole number)

Answer 1

We can use proportions to solve this problem:

Let x be the length of the Willis Tower's shadow.

Then we have the proportion:

shadow length / object height = shadow length / object height

Plugging in the values we know:

10 feet / 5.5 feet = x / 1454 feet

Simplifying and solving for x:

x = (10 feet / 5.5 feet) * 1454 feet

x ≈ 2648 feet

Therefore, the Willis Tower's shadow is approximately 2648 feet long.