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.
Since the triangles are proportional, we can set up the following equation using the given measurements:
(40/9) = (x/12)
Cross-multiplying, we get:
9x = 12 * 40
Dividing both sides by 9, we find:
x = (12 * 40) / 9
x = 53.33
Therefore, the distance between the two campsites is approximately 53.33 units.