Well with a compound bow I shoot in a 3-4 inch grouping at 25 yards. I will never shoot anything that is beyond 30ish yards. Getting that close is not easy. But some if my friends a good elk callers and they have taken elk by bow before.Crossbow if that's your concern (and it is for me).
I harbor absolutely zero ill-will against people who want to hunt with a longbow (if they're good) or a compound bow, but I personally refuse to risk it and use a crossbow to minimize all potential risk of wounding/losing a deer.
You still need to "practice" of course, even with a crossbow, but the accuracy is insane. They make crossbows today that are as accurate as firearms at 20 to 40 yards. I have an Excalibur Matrix that from bench rest will repeatedly put an arrow into a golf ball sized area, which still amazes me. Even at longer ranges I likely wouldn't shoot at, I'd say the area is baseball sized, which is still the kill-zone.
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