Explanation

To find the approximate distance from the lens to the image in a camera with a focal length of 6 centimeters, we can use the lens formula:

1/focal length = 1/object distance + 1/image distance

Given information:

- Focal length = 6 centimeters

In this case, the distant scene is being photographed, so we can assume that the object's distance is very large, approaching infinity.

As a result, we can approximate the lens formula as:

1/focal length ≈ 1/image distance

Simplifying the equation:

1/6 cm ≈ 1/image distance

Cross-multiplying:

image distance ≈ 6 cm

Therefore, the distance from the lens to the image is approximately 6 centimeters.