Question

1. find $d$, the distance across the lake.

225 ft
90 ft
75 ft

Explanation:

Step1: Identify similar triangles

The two triangles are similar by AA similarity (right angles and shared angle).

Step2: Set up proportion

$\frac{d}{90} = \frac{75}{225}$

Step3: Simplify and solve for d

First simplify $\frac{75}{225} = \frac{1}{3}$, then $d = 90 \times \frac{1}{3}$

Answer:

25 ft