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In: Physics
If you point a mirror in the right direction, you can see the entire moon reflected in a small hand mirror. The moon is huge! The hand mirror is small. But the entire moon is visible in the mirror because you are close to the mirror, and the moon is far away. Far away things look small.
To be exact, how big something looks is inversely proportional to how far away it is. That means, if two objects are the same actual size, but one is twice as far away, the far away one will look half as big. If it’s three times as far away, it looks one-third as big, and so on.
When you look at something in a mirror, the “viewing distance” is both the distance between you and the mirror, plus the distance between the mirror and the object. So when you look at yourself in a mirror, the “viewing distance” is twice the distance between you and the mirror. That means the “you” that you see in the mirror is twice as far away as the mirror, so it looks half as big. Thus, even if you are twice as big as the mirror, the “you” that you see in the mirror gets shrunk in half, which would fit in the mirror.
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