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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