Campsites Fand G are on opposite sldes of a lake. A survey crew made the measurements shown on the dlagram. What is the distance between the two campsites? The dlagram Is not to scale. 82 m 82.8 m 47 m 73.8 m 92 m O 42.3 m O 73.8 m O 47.4 m O 82.8 m 3 4 6. 8
Campsites Fand G are on opposite sldes of a lake. A survey crew made the measurements shown on the dlagram. What is the distance between the two campsites? The dlagram Is not to scale. 82 m 82.8 m 47 m 73.8 m 92 m O 42.3 m O 73.8 m O 47.4 m O 82.8 m 3 4 6. 8
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:### Geometry Final: Topics 5 and 7
**Question:**
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 to scale.
**Diagram Explanation:**
The diagram shows two triangles that share a common side, with Campsite F on one side of the lake and Campsite G on the other.
- **Distances on the diagram:**
- The distance from the top of the left triangle to the base is labeled as 47 meters.
- Each side of the left triangle adjacent to the 47-meter side is labeled 82 meters and 92 meters respectively.
- Each side of the right triangle adjacent to Campsite G is labeled as 82.8 meters and 73.8 meters respectively, continuing from the left triangle (the 92-meter side).
- There is an ellipse in between the two triangles, symbolizing the lake.
**Options:**
- A. 42.3 meters
- B. 73.8 meters
- C. 47.4 meters
- D. 82.8 meters
**Solution Process:**
To determine the distance between the two campsites, consider the geometric properties outlined and solve appropriately, possibly looking for congruent triangles, shared side lengths, or trigonometric relations.
**Answer:**
To find out which option correctly states the distance between the two campsites, follow the described calculation method.
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This explanation should assist in understanding the geometry problem of finding the distance between two points across a lake depicted in the provided diagram.
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