What will the angle of view be for this pinhole camera?

Question

You are building a pinhole camera and need to figure out some information before you start taking pictures. First, you measure the distance between the aperture and the back wall and the back wall of the camera and find it to be 115 mm. Then you measure the length of the back wall of the camera and find that it is 200 mm wide. With this information, determine the angle of view that the camera will capture

Answer 1

The back wall extends 100 mm on each side of the center (200 mm ÷ 2 = 100 mm).

Using the right triangle formed from the center:

1. Opposite side = 100 mm (half the width)
2. Adjacent side = 115 mm (distance to back wall)

tan(θ/2) = 100/115

θ/2 = arctan(100/115) θ/2 = arctan(0.8696) θ/2 ≈ 41.0°

Full angle of view: θ = 2 × 41.0° = 82.0°

The pinhole camera will capture an angle of view of approximately 82 degrees.