There are two possibilities for this situation: The first possibility is that the men of the film crew, after raping the girl, then killed her (off-camera) and impaled the wooden pole through her body. They later pretend to come across the impalement and film the scene as such. Shots of Alan smiling at the sight could be explained as him being happy that the impalement turned out looking the way it did, creating more brutal and sensationalistic content (i.e. he was marveling his handy work).The other possibility is that it was the raped girl's tribe that killed and impaled her due to her being made "unclean" by the rape (in an almost subliminal shot, a native man can be seen watching the whole rape unfold, kneeling behind Faye when she complains). Thus, Alan would be correct by stating that the natives killed her because of a "bizarre sexual rite." His quickly caught happiness would be explained by the fact that the team came across such a grisly scene, and again, they would be able to capture the shot for their documentary. The second explanation can come under mild scrutiny from the fact that the natives attack the crew in vengeance for the rape of the girl, even though the tribe had been the ones who killed her. However, it is possible that the tribe's strongly held superstitions stated that they must kill the girl because of her impurity from the rape, and that they attacked the film crew for making it necessary to kill her (thus, in their eyes, the film crew would still be responsible for the girl's death). Whichever scenario is correct is a matter of interpretation. Edit