# Is the bucket half full?

Suppose we watch a bucket from the top as we pour water in it. Then the base of the bucket will appear shifted upwards. If the height of the bucket is $$h,$$ what is the height of the water (from the base) that makes the bucket appear half full when seen from the top?

Bonus: If the refractive index of water is $$\mu$$, find the height of the water (from the base) that makes the bucket appear half full when seen from the top.

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