[Grammar] "in the kitchen" and "like this" prepositional phrases

[hothead2692]

"The chef in the kitchen is working hard" and "Horses like this are very hard to find"

What is the function of the prepositional phrases in both sentences? Is it an adverb or adjective?

*I thought "in the kitchen" works as an adverbial telling where the noun is, and "like this" is also adverbial (I'm not sure about this) because it is comparing similarity between "Horses" and "this". The reason for asking is because I thought that the position of both prepositional phrases look like an adjective.

 

[MikeNewYork]

"The chef in the kitchen is working hard" and "Horses like this are very hard to find"

What is the function of the prepositional phrases in both sentences? Is it an adverb or adjective?

*I thought "in the kitchen" works as an adverbial telling where the noun is, and "like this" is also adverbial (I'm not sure about this) because it is comparing similarity between "Horses" and "this". The reason for asking is because I thought that the position of both prepositional phrases look like an adjective.

They are both adjectival. The first speaks to which chef; the second to what kind of horses.