Poorly worded question IMO. When they say determine ampacity they follow it with a conductor size - that is not how you should do things. They should give you the load, other necessary load details such as continuous or non continuous, motor, AC/refrigeration, resistance heat, etc. as all of those can have differences in how you determine size of conductors needed to supply them. Then they should tell you ambient temp, number of current carrying conductors in the raceway, etc.
All you can do with that question is derate some 4 AWG conductors to some specific conditions, but generally it is more important to come up with a conductor that can supply a particular load then it is to just derate a particular conductor. (you usually size conductors to the load, not the load to the conductor)
If anything maybe the question should have been more like "what is the adjusted ampacity of 8-4AWG current carrying conductors in a raceway with an ambient temp of 118F? A second part or even second question may involve size of raceway needed for these conductors. This is probably what the intention was when the question was written, but I still like the real life application of telling you load details and letting the student figure out conductor size , because that is more of a reality of what should happen most of the time.
Even if you had existing conductors and wanted to know if they can be used for a particular load, you should still figure out what the load actually needs and if existing are larger then they will work.