Final answer:
The type of holding pattern entry over the MGM VOR when proceeding to the CARNS waypoint depends on the angle of approach to the holding fix. You can use the standard 70-110-70 rule to determine whether a teardrop, parallel, or direct entry is appropriate, as ATC will generally not specify the entry type.
Step-by-step explanation:
When over the Montgomery (MGM VOR), directed to proceed direct to the CARNS waypoint and hold as published, the type of entry into holding will depend on your heading relative to the holding pattern. Air Traffic Control (ATC) usually expects pilots to determine the appropriate entry method, as they will not typically tell you which type to make. The three types of entries are the teardrop entry, parallel entry, and direct entry.
To decide which entry to make, you would use the holding pattern entry procedures. If your inbound heading to the holding fix falls within 70 degrees to the right of the outbound holding course, a direct entry is appropriate. If it falls within 110 degrees to the left of the outbound course, you should make a parallel entry. A teardrop entry is correct if you are approaching within 70 degrees to the left of the outbound course.
Without specific heading information, it is not possible to determine the exact entry type. However, by using the standard 70-110-70 rule, you should be able to ascertain which entry best suits your situation once you know your approach direction relative to the hold.