The death of Charles Vacca was “being viewed as an industrial accident,” Mohave County Sheriff’s office said in a statement.
Charles Vacca, 39, was giving the girl a lesson at an Arizona shooting range when the recoil from a firearm caused her to lose control of the Uzi submachine gun.
He died after being airlifted to a hospital in Las Vegas.
The girl was at the shooting range with her parents, who filmed the lesson.
The footage shows Charles Vacca coaching the girl as she fires a single shot at a target at the Last Stop shooting range in White Hills, Arizona.
The Uzi then appears to be switched to automatic as the girl pulls the trigger and loses her grip of the weapon.
The video, edited and released by the Mojave County Sheriff’s office, ends abruptly before the instructor is shot.
The unnamed girl and her family were on a visit to Arizona from New Jersey.
A spokeswoman for the Arizona Division of Occupational Safety and Health confirmed that the agency was also investigating the shooting, but would give no further details.
The website of the shooting range, called Bullets and Burgers, says children aged 8 and older can shoot a weapon if they are accompanied by a parent and an instructor.
Range operator Sam Scarmardo told the Associated Press news agency the facility had not had an accident in the 12 years it has been open.
“We really don’t know what happened. Our guys are trained to basically hover over people when they’re shooting,” Sam Scarmardo told a local broadcaster.
“If they’re shooting right-handed, we have our right-hand behind them ready to push the weapon out of the way. And if they’re left-handed, the same thing.”
A similar incident in 2008 killed an 8-year-old boy who accidentally shot himself in the head during a gun expo in Massachusetts.
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