Continuity mistake: In New York, Kong fetches a woman in her sleep. In the close-ups she's wearing white pyjamas, but the mannequin she's replaced for when she falls has short hair and dark clothes.
Continuity mistake: During the fight between Kong and the dinosaur, the shape of the tree Ann is on differs between shots.
Continuity mistake: Kong shakes the sailors off the log and a man falls down. A shot later he's back on the log. (00:53:12)
Continuity mistake: The planes that attack Kong have two parallel wings, the lower wing being shorter. In the close-up of the planes next to Kong both wings are the same size.
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 ★