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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.

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 diagra class=

Respuesta :

[tex] \frac{83.8}{67.04} = 1.25 \\ \\ \frac{78.8}{63.04} = 1.25[/tex]

Vertical angles are congruent.

Triangles are similar. Therefore, corresponding sides are proportional.

[tex] \frac{43.8}{DE}=1.25 \\ \\DE= \frac{43.8}{1.25} = 35.04[/tex]