I have been trained as a sniper ("I'm not a REAL sniper, I just play one on TV"), and if I remember the movie, he had a boonie hat (a common item in use by our guys in Viet Nam), but his may have been "decorated" with some camo netting and appropriate "foilage", often strips of colored burlap, 3-D Dupont synthetic leaves, etc), which can be flipped out of the way, over the hat, and then swung down to drape over the rear of the scope, breaking up the profile of the head, face, scope, and rear of the rifle. I have some ghillie suits with some hats that work that way. You stitch some netting to the boonie hat, and add the camo pieces that best fit the surroundings. I'll try to get a picture up. I mostly made mine up to hide my face, and play down the signature of my glasses (which present their own special problem when trying to hide in the wild.) I can see why a guy who does not need glasses would be first choice for a sniper.