Campsites f and g are on opposite sides of a lake. a survey crew made the measurements shown on the diagram and the two triangles formed by this diagram are similar. what is the distance between the two campsites? the diagram is not to scale. a. 42.3 m b. 47.4 m c. 73.8 m d. 82.8 m

option a. 42.3 m

Explanation:

1) You have to start by idenfifying which are the corresponding sides.

2) Length 82 m is in correspondence with length 73.8

3) Length 92 is in correspondence with length 82.8

4) Length 47 is in correspondence with length FG, which is the unknown.

5) So, by similarity:

47 m         x
=
82 m     73.8m

6) Solve for x:

x = 73.8 m * 47m / 82m = 42.3 m