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.

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question

asked Apr 7, 2017 159k views

1 vote

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-example-1

Mathematics
high-school

KlaasNotFound asked

by KlaasNotFound

8.0k points

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

4 votes

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

Vertical angles are congruent.

Triangles are similar. Therefore, corresponding sides are proportional.

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

Marcel Haldemann answered Apr 12, 2017