To find the distance between campsites F and G, we can use proportionality of the triangles formed by the intersecting segments.
Let's set up the proportion using the measurements given in the diagram:
(60 + 30) / 60 = x / 90
Simplify the proportion:
90 / 60 = x / 90
3/2 = x / 90
Cross multiply to solve for x:
2x = 3 * 90
2x = 270
x = 270 / 2
x = 135
Therefore, the distance between campsites F and G is 135 units.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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.
(2 points)
1 answer