Question

1. given the diagram below what is the length of \\( \overline { r s } \\) or the distance across a body of water?

60 m
75 m
85 m
45 m

Explanation:

Step1: Identify similar triangles

The two right - angled triangles are similar. Let the segments on the common line be divided into parts. Assume the ratio of corresponding sides is based on the equal - division marks.

Step2: Use the property of similar triangles

Since the triangles are similar, the ratio of corresponding sides is equal. The side opposite to the right angle in the second triangle is \(85m\). By the property of similar triangles and the equal - division marks (assuming the mark - based ratio), we can find that \(RS = 75m\).

Answer:

75 m