Final answer:
Using the lens formula, the object is calculated to be approximately 5.24 cm from a thin converging lens with a focal length of 8 cm that forms a real and inverted image 13.3 cm to the right of the lens.
Step-by-step explanation:
The student asked for the distance of an object from a lens given the focal length of the lens and the image distance. The lens is a thin converging lens with a focal length of 8 cm, and it forms a real and inverted image 13.3 cm to the right of the lens. To find the object distance, we use the lens formula: 1/f = 1/do + 1/di, where f is the focal length of the lens, do is the distance of the object from the lens, and di is the distance of the image from the lens. Substituting the given values into the lens formula, we get 1/8 = 1/do + 1/13.3. Solving for doing, we find the object distance to be approximately 5.24 cm from the lens. Therefore, the object is placed 5.24 cm to the left of the lens.