Question
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)
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)
Answers
GPT 3.5
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.
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.