Question

A pinhole camera is made from an 78 cm -long box with a small hole in one end. If the hole is 5.2 m from a 1.7 m -tall person, how tall will the image of the person on the film be? a.0.32m

1b..32m
c.2.0m
d.2.32m

Answer 1

The height of the image of a person on the film in a pinhole camera can be found using a proportion and similar triangles. The image will be approximately 0.255 meters tall.

Step-by-step explanation:

To determine the height of the image of a person on the film in a pinhole camera, we can use similar triangles. The height of the person, 1.7 m, and the distance from the hole to the person, 5.2 m, form one set of corresponding sides. The height of the image and the distance from the hole to the image form the other set of corresponding sides. The ratio of these corresponding sides is equal, so we can set up a proportion to solve for the height of the image:

(1.7 m) / (5.2 m) = h / (78 cm)

Now, we need to convert the length of the box to meters:

78 cm = 0.78 m

Substituting the known values into the proportion, we can solve for h:

(1.7 m) / (5.2 m) = h / (0.78 m)

Cross-multiplying and simplifying, we get:

1.7 m * 0.78 m = 5.2 m * h

1.326 m² = 5.2 m * h

Now, solve for h by dividing both sides of the equation by 5.2 m:

h = 1.326 m² / 5.2 m

h ≈ 0.255 m

Therefore, the image of the person on the film will be approximately 0.255 meters tall.