Revealing mistake: At the Empire State, the woman is an obvious square-shaped footage of film pasted on top of the footage of Kong. After the plane attacks Kong and his right arm goes limb it goes behind the pasted footage.
Continuity mistake: This happens in King Kong's death scene. After he puts down Ann for the last time, he is shot and his right arm goes limp. In the close-up, he's suddenly using that limp arm to hold on to a spire.
Revealing mistake: When Kong is rampaging through New York there are women shown in a window on the upper right. If you watch that was on a loop because they keep doing the same thing over and over.
Answer: It's never shown or explained, and the film uses a broad "suspension of disbelief" premise. The audience just accepts the characters were able to somehow transport a huge ape to New York City.
raywest ★