The Tropics Lounge was a pre-tiki establishment opened sometime during World War II and was located on the third floor (they counted the basement level as #1, so the third floor today is more like the second floor or mezzanine level).
Here's a quote from the hotel's history flyer:
"After dinner, the gentlemen would retire to the third floor to the popular lounge called the Tropics. The sound of thunder was piped in and the lights fluttered and went out. A mechanical hula girl would emerge from behind the bar and dance in a grass skirt while it rained behind the bar."
Although the hotel is still running, it has undergone many remodels and it is difficult to see any sign of where the bar once was.