Deliberate mistake: For Hans Gruber's iconic death scene, Alan Rickman's fall was filmed at high speed (for slow-motion playback) against a green screen, and the skyscraper perspective footage was added later as background. However, while Rickman falls away from the camera in slow motion, papers are fluttering around him in the background at normal speed. This was done deliberately to make the shot even more surreal.

Die Hard (1988)
1 deliberate mistake
Directed by: John McTiernan
Starring: Bruce Willis, Alan Rickman, Bonnie Bedelia, Paul Gleason, Reginald VelJohnson

Continuity mistake: After he climbs out of the air duct, John McClane's shirt goes from white to green. The dirt and grime from the air duct would cause discolouration only where the shirt comes in contact with the duct. However, his shirt is uniformly green including places that wouldn't make contact and it is impossible for all surfaces to make contact even in small areas. (00:23:05 - 00:56:30)
John McClane: A hundred million terrorists in the world and I gotta kill one with feet smaller than my sister.
Question: If the guy at the reception desk knew that the only ones left in the building were on the 30th floor, why did he tell John to use the screen?
Answer: Any answer is speculation; but a simple explanation is he may have forgotten the only people left were there for the Xmas party until John mentioned the 30th floor. The guard also seems fairly proud of their new high-tech touchscreen system so he might have just had John use it to show off how nice the building is.
Answer: Most likely he just wanted to showcase a nifty (by 80s standards) piece of technology to a visitor.
Answer: The party was on the 30th floor and John was asking for a specific employee, his wife. He had no idea where she was exactly.
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Answer: Most large companies, particularly hi-tech or multinational ones, require visitors to check-in, especially afterhours. By having John search for Holly's name, it can be verified that he actually knows someone who works there, that there is an actual employee with that name, and otherwise assess whether John is a legitimate visitor. This scene's real purpose, however, is for plot exposition. John learns from the monitor that Holly now goes by her maiden name (Gennero) rather than her married surname. We see John's annoyed reaction to learning this, which sets up a later confrontation between him and Holly over their troubled marriage.
raywest ★