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In old Polaroid cameras, the image was projected on film that developed inside the camera. The developed image was then ejected from the camera as a printed photograph. The standard film size for one popular camera was 79 mm square. The film was 116 mm behind the lens.
If you wanted a picture of your 1.8-m-tall friend to fill half the frame, how far away from you did she need to stand?

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MathPhys

Answer:

5.3 m

Explanation:

Your friend is 1800 mm tall, and you want them to fill half the frame (79 mm / 2 = 39.5 mm).

The film is 116 mm behind the lens.  Using similar triangles:

x / 1800 = 116 / 39.5

x = 5286

Rounded to two significant figures, your friend should stand 5.3 meters away.

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