Visible crew/equipment: As soon as Marion gets locked in the cockpit of the Nazi plane, you can see a crew, a blue van, a ladder, and a crew member with a white sleeveless shirt and a big brimmed hat, all in the reflection of the glass. (01:18:20)
Visible crew/equipment: When Indiana is chasing the Nazis in the truck, look closely at the convertible, you can see the camera on the windshield. (01:23:25)
Visible crew/equipment: When Indy and Sallah are deciphering the head piece there is a shot over Indy's shoulder. As he turns you can see the reflection of a fluorescent light in his glasses. (00:48:40)
Visible crew/equipment: In a shot of Belloq speaking to Indy in the Well of Souls, in some shots of the Desert Chase (such as when Belloq shouts Allah va!) and when the three villains enter the submarine with Marion, Wolf Kahler's double is seen, who has black hair. (01:10:43 - 01:24:42)
Visible crew/equipment: Just before the shooting starts at The Raven, you can see that Otto's shadow movements do not match the German's movements. Also, when Marion fights with Toht, behind her you can see the shadow of a man with short hair and no hat moving to the left (Indy still has his hat on during this scene).
Visible crew/equipment: Right when the Nazis are struck with the light, one soldier shakes wildly and one can see the cable coming out of his trousers and stretching off-screen to the right. (01:47:30)
Visible crew/equipment: As the bad guys are leaving the dig site for Cairo, there is a shot of the black vehicle (lead car) looking right at the driver. On the bottom of the shot is a shadow of film equipment that shouldn't be there. The shot lingers, so the shadow is very visible. (01:22:50)
Visible crew/equipment: At the beginning of the ark chase sequence, Indy jumps into a truck off a horse and fights the driver. He pushes the driver up against the door. At the bottom of the frame you can see the camera shadow. (01:23:35)
Visible crew/equipment: During Marion and Belloq's beverage contest, a round klieg lamp's blue light stands behind Belloq, which sometimes changes its intensity. Also, when Marion grabs the knife, behind her a moving light can be seen (like a helicopter's light), which disappears a few seconds later. This light also appears for a few seconds when Toht frees Marion's arm.
Visible crew/equipment: Just as Indy and Sallah walk near the table with the soldiers eating, on the dune in the background (near the Map Room), four crew members (not wearing German uniforms or Arabian tunics, but shirts and jeans) can be seen sitting, watching the scene. (00:54:46)
Answer: Indy and Marcus Brody believed that the Ark needed to be studied. They certainly didn't want to put it back where it was found. They believed that the U.S. government would find the best archaeologists, researchers, and scientists in the world to study the Ark. They are both upset that instead, the government has decided to simply lock the Ark away. This is why Indy says, "Fools. They don't know what they've got there," as he is leaving the building.
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