[Wyody]

Well, I don't know how you folks up there in the civilized part of Wyoming do it - but over in the outback, I use two methods.
One would be to take several steps to my left and pump a massive right behind that shoulder-blade (heart-shot) aiming for the bucket-sized bullet to come straight out the front of the chest.
My special method is to walk straight toward the Elk - fearless, without noise - and hold up an 8x10 glossy of my ex. BOOM! SPLAT! Tongue on the ground sandwich.
Then, there's always the California method - All Rocky Mountain hunters know of the California method as practiced by the millions and millions of Californians who come out with their shiny new Caboy Boots and their equally shiny elephant-guns: That method, for the uninitiate, is to first ask somebody to hold your cup of beer mixed with Evian and then start firing at anything anyplace remotely near the Elk - ripping large chunks of the Earth, the bush, the tree, the truck, the farmhouse down the road, the schoolbus out there that looks like a junker (but really houses 3 and 4 renegades) and blowing everything away until only the Elk is left standing ... then (the smart ones anyway), handing off their rifle to someone who is actually from the Rocky Mountains so that maybe they can get an Elk-burger for dinner before they go back to Cafilonia - while the rest of us Rocky Mtnrs are just tuning up on the Liver to both enjoy and show respect for the animal ... and of course using our fancy new cell-phones to call 911 to come help those folks that were in the bus.