survived the shootout shows a far more troubling scene: a five-minute clash during which the Americans fired back, crouched behind barriers and waved their hands desperately to stop the shooting, before the Jordanian charged with an assault rifle to try to finish them off.

The episode has sent a chill through the normally warm relations between the United States and Jordan, one of its closest Arab allies, and spurred protests in Jordan by members of the gunman’s influential tribe, who believe he is being punished to placate a powerful ally....

Training missions at the military base in Jordan had become so routine that the American Special Forces soldiers there wore baseball caps instead of helmets. Most of them had been in a war zone, and Jordan felt far from one.Kirksville, Mo.; Staff Sgt. Kevin J. McEnroe, 30, of Tucson; and Staff Sgt. James F. Moriarty, 27, of Kerrville, Tex.

The soldier who survived reviewed the video with a reporter from The New York Times on Monday evening, helping to piece together what took place that day. “We were just terrified and confused,” he said. “We didn’t know what was happening, or why, or how many guys were going to come after us.”

The video first shows a stark desert road leading to a gate to the King Faisal Air Base in the southern Jordanian town of Al Jafr, where the American soldiers were training Syrian rebels as part of a covert program run by the Central Intelligence Agency. Four trucks are returning from morning mortar training and slowly approach