Question

Campsites D and E are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the campsites? The diagram is not to scale.

Answer 1

`(83.8)/(67.04) = 1.25 \\ \\ (78.8)/(63.04) = 1.25`

Vertical angles are congruent.

Triangles are similar. Therefore, corresponding sides are proportional.


`(43.8)/(DE)=1.25 \\ \\DE= (43.8)/(1.25) = 35.04`