Answer:
40 feet represents the height of the tree ⇒ H
Explanation:
Let us solve the question using the proportional
∵ A tree casts a shadow 64 feet long
∴ L
= 64 feet
∵ At the same time, a girl 5 feet tall standing near the tree
∴ H
= 5 feet
∵ She casts a shadow that is 8 feet long
∴ L
= 8 feet
The ratios between the shadows and the heights of the tree and the girl are proportional
∵
=
→ Substitute their values in the equivalent ratios
∴
=
→ By using cross multiplication
∴ H
× 8 = 5 × 64
∴ 8H
= 320
→ Divide both sides by 8
∴ H
= 40 feet
∴ 40 feet represents the height of the tree