The rim or counter surface shall be no higher than ________ inches above the finished floor on a handicapped accessible lavatory.

The correct height for the rim or counter surface of a handicapped accessible lavatory is 34 inches above the finished floor. This measurement is in line with accessibility standards designed to accommodate individuals with disabilities, ensuring that they can use the facility comfortably and safely.

According to the Americans with Disabilities Act (ADA) guidelines, the height of 34 inches is specifically chosen to provide easy access for individuals using wheelchairs and other mobility devices. This height allows for adequate clearance and reach, which is crucial in facilitating independence and usability of facilities for all individuals, regardless of their physical abilities.

In contrast, the other heights listed might exceed the maximum allowable height or may not be sufficient for accessibility needs. The establishment of 34 inches as a standard helps create a uniform approach in public restrooms and facilities, enhancing accessibility across the board.