Question

The shadow of a pole ten feet tall is 15 feet long. How tall is a tree that casts a 60-foot shadow?

F) 50'
G) 100'
H) 40'
J) 15'
K) 10'

Answer 1

the height of the tree is 40 feet. The answer is (H) 40'.

Explanation:

We can use proportions to solve this problem. Let's call the height of the tree "h". Then, we can set up the proportion:

height of pole / length of pole's shadow = height of tree / length of tree's shadow

Substituting the values we know:

10 / 15 = h / 60

Simplifying:

2/3 = h/60

Multiplying both sides by 60:

h = 40

Therefore, the height of the tree is 40 feet. The answer is (H) 40'.