While American pilots have by far carried out the bulk of the combat missions in Iraq and Syria, the United States is loath to appear as if it is acting alone. So the suspension of Emirati combat missions in December came as a blow.

American military officials maintained that Islamic State fighters captured the Jordanian pilot, First Lt. Moaz al-Kasasbeh, within minutes after his plane went down, and said that search teams did not have enough time to locate him before he was captured. A senior military official said that Lieutenant Kasasbeh’s parachute had been spotted quickly by the militants and that he had landed right in their midst.

But his capture raised questions about whether rescue teams would have been able to get to him within the so-called golden hour, after which time chances of survival from a crash or injury drop sharply. When United Arab Emirates officials discovered that most of the rescue teams and aircraft were based in Kuwait, they said that their pilots would not fly until there was a system in place for more rapid search and rescue.

Last week, the United States Central Command notified United Arab Emirates officials that they had sent additional rescue helicopters to Erbil, Iraq.

In an interview on Tuesday, Yousef al-Otaiba, the United Arab Emirates ambassador to the United States, said that Emirati concerns had been addressed.

“The suspension of combat operations was made for purely operational and planning reasons, not political ones,” Mr. Otaiba said. He added that the Emirates was “fully committed” to defeating the Islamic State “and will not back down.”

But far more than the oil-rich Gulf Arab states, Jordan is dealing with poverty and unemployment, said Hasan Abu Hanieh, a Jordanian expert on Islamist groups. The Obama administration has increased aid to Jordan, and Congress is prodding the White House to increase military assistance as well.