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?

Answer 1

To find out how tall Nathan is, we can use the concept of similar triangles. The ratios of the corresponding sides of two similar triangles are equal.

Let's set up the proportion:

(tree height) / (tree shadow) = (Nathan's height) / (Nathan's shadow)

(24 ft) / (18 ft) = (Nathan's height) / (4 ft)

Solving for Nathan's height:

24 ft / 18 ft = Nathan's height / 4 ft

1.33 = Nathan's height / 4 ft

Nathan's height = 1.33 x 4 ft

Nathan's height = 5.32 ft

Therefore, Nathan is approximately 5.32 feet tall.