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Standard height for a bathroom vessel sink?   The height to the top of the vessel shoud be 35 plus or minus 1 inch. A 4 deep vessel should be on a 31 vanity.
A sink installed at the height of the toilet is incorrectly installed, but toilets are in the 16- 20 inch range. A sink at 30 inches is fairly standard, but if your family is tall, you can go to 36 inch and above, in my market called a luxury height.