Question

1. in the figure, the triangles are similar. what is the distance d across the pond?

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{d}{13}=\frac{72}{117}\).

Step2: Solve for \(d\)

Cross - multiply: \(117d = 13\times72\).
First, calculate \(13\times72 = 936\).
Then, \(d=\frac{936}{117}\).
Simplify \(\frac{936}{117}=\frac{936\div 117}{117\div 117}=8\).

Answer:

\(8\) meters.