Question

4 two nearby trees are perpendicular to the ground, which is flat. one of these trees is 5 feet tall and has a shadow that is 9 feet long. at the same time, the shadow of the other tree is 18 feet long. how tall, in feet, is the other tree? the second tree is ____ feet tall.

Explanation:

Step1: Set up proportion

Since the trees and their shadows form similar triangles, the ratio of tree height to shadow length is the same. Let \( h \) be the height of the second tree. The proportion is \( \frac{5}{9}=\frac{h}{18} \).

Step2: Solve for \( h \)

Cross - multiply: \( 9h = 5\times18 \). Then \( 9h=90 \). Divide both sides by 9: \( h=\frac{90}{9}=10 \).

Answer:

10