A 24 foot tall tree casts a shadow that is 18 feet long. At the same time, Nathan casts a 4 foot shadow. How tall is Nathan?

1 answer

We can set up a proportion to solve this problem. Let "T" represent the height of Nathan.

The proportion can be set up as:

24 feet / 18 feet = T / 4 feet

Cross multiplying the proportion, we get:

18T = 24 x 4

18T = 96

Dividing both sides by 18, we find:

T = 96 / 18

T = 5.33... or approximately 5.33 feet.

Therefore, Nathan is approximately 5.33 feet tall.