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What would have been a likely U.S. adversary to kill a king tiger under normal circumstances?
Assuming you mean to disable the vehicle by offensive action and not having it run out of gas, throw a track or break down, then just abuot anything could "kill" a Tiger II. It all depends upon where you are aiming.
The lowly 37mm could get a mobility kill by punching holes in the arse end and knocking out the engine.
A 6 pdr/75mm could hole them from the sides at close range and knock out a track at any range it could see the track.
A 75mm could damage running gear from any range.
A 76mm could hole the side armour.
Punching through from the front would take a 90mm or 17 pdr from pretty close range. The 17 pdr could do it further out with APDS, however that wasn't used much and only then towards the very endo of the war.
Unless you had planned an ambush very, very well it was unusual to be able to ambush German armour late in the war as they were almost always retreating and not advancing (although ambush possibilities existed when you were trying to ambush a counterattack after you had taken a German position). Tiger IIs were almost never used in counterattacks because their mobility was so poor and they were ripe for being pounced on as they advanced.
Taking out Tigers was usualy done by the luckiest Sherman in a unit that had usually lost several other members to the Tiger and its supporting friends.
It is a bit of a myth that aircraft in WW II took out a large number of AFVs. The .50 cal MG on US fighters couldn't do anything to any of the MBTs from any attitude. You are left with the chances of a WW II aircraft hitting extremely closely to an AFV with a bomb or actually hitting an AFV with a rocket. Post war evaluation showed that this was a actualy a very, very rare occurance. The big benefit of aircraft interdiction was against the softskins which were extremely vulnerable to the predations of Tiffies & Thunderbolts. Unit supply and logistics trains were destroyed which immobilized the tank units just as effectively as if the Tiffies had destroyed the tanks themselves. Some tanks were hit, sure and we have all seen the pictures, however in actuality, it wasn't a big number. It was the losses to the logistics vehicles and the need for operationa secrecy that really made the Wehrmacht avoid aircraft.
HTH
Paul