damarisr632
Answered

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The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.

The Diagram Shows Two Campsites On Opposite Ends Of A Lake And Two Triangles Formed By Intersecting Segments From The Campsites Campsites F And G Are On Opposit class=

Sagot :

timhuckabee14

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

akposevictor

Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

What are Similar Triangles?

Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).

The two triangles formed are similar triangles. Therefore:

47/FG = 82/73.8

Cross multiply

FG = (47 × 73.8)/82

FG = 42.3 m

Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Learn more about similar triangles on:

https://brainly.com/question/11899908

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