Given that the two triangles formed are similar, the distance between the two campsites is: 37.8 m.
Triangles that are similar have corresponding side lengths that are proportional.
Thus:
Let x represent the distance between the two campsites
Since the two triangles formed are similar to each other, we have the following:
42/x = 82/73.8
x = (73.8 × 42)/82
x = 37.8 m
Thus, given that the two triangles formed are similar, the distance between the two campsites is: 37.8 m.
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