He faced the same difficulty which we had at the airport in finding the direction to the gate.
Firstly, I think the entire clause "which we had at the airport in finding the direction to the gate" modifies the noun " difficulty".
Secondly, I think the PP "to the gate" is the complement of "direction",being an adjective,
and as the PP "at the airport" is closer to the verb "had", it functions as complement of the verb "had", therefore the PP is adverbial. Am I mistaken?
And what about "in finding the directions to the gate." Is it also a complement of the verb "had" or
it functions as complement of either noun "airport" or "difficulty"(difficulty is a bit far away though), serving as an adjective?
And, "which we had..." is a relative clause , so I think the object behind the verb "had" is "difficulty", then the sentence can be looked at this way
We had the difficulty at the airport in finding the directions to the gate.
As for this sentence, the PP "at the airport" is closer to "difficulty" , then it serves as a complement of "difficulty", being an adjective?
And the PP "in finding the directions to the gate", is it a complement of the verb "had", being an adverb? Or it is the complement of either the nouns "airport" or "difficulty", serving as an adjective?