Question

a movie star catches a reporter shooting pictures of her at home. she claims the reporter was trespassing. to prove her point, she gives as evidence the film she seized. her 1.80 m height is 8.25 mm high on the film, and the focal length of the camera lens was 210 mm . How far away from the subject was the reporter standing?

Answer 1

The reporter was standing approximately 7.69 meters away from the movie star.

Step-by-step explanation:

To determine the distance between the camera and the subject, we can use the thin lens formula: 1/f = 1/do + 1/di, where f is the focal length of the lens, do is the object distance, and di is the image distance.

Solving for do, we have: do = (1/f - 1/di)^-1

In this case, the focal length f is 210 mm and the image height on the film is 8.25 mm, which is equal to the image distance di.

Substituting the values, we have: do = (1/210 - 1/8.25)^-1 = 7.69 m

Therefore, the reporter was standing approximately 7.69 meters away from the movie star.