i need help plz

Question

Raphael is 5 feet tall. He casts a 4-ft shadow. At the same time, a tree casts a 6-ft shadow. How much taller is the tree than Raphael? _

Raphael is 5 feet tall. He casts a 4-ft shadow. At the same time, a tree casts a 6-ft shadow. How much taller is the tree than Raphael?

Answer 1

H_R: Raphael's Height = 5ft

H_T: Tree's Height = ?

S_R: Raphael's Shadow = 4ft

S_T: Tree's Shadow = 6ft

First we find the height of the Tree, by setting the proportion:

H_R / S_R = H_T / S_T

5 / 4 = ? / 6

? = (5 * 6) / 4

? = 30 / 4

? = 7.5

The Tree's Height is 7.5ft

Now, we find the difference in heights between Raphael's and the Tree's:

7.5 - 5 = 2.5

The Tree is 2.5ft taller than Raphael.