The ceiling in the pictured room is probably 12 feet-—the ceiling doesn’t show.
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Doubtful, as the height of the furr down above the sofa is no more than about seven feet. The mirror over the sofa is jammed in; everything is hanging too low and too close together. The placement of the furr down is dictated by the location of the HVAC return grill, but could be considerably higher if the ceiling were as high as you suggest. Ceiling here is no more than ten feet, maybe nine. Even the super rich don’t have elbow room in postwar buildings in Manhattan.