Final answer:
The maximum thickness of drywall that can be installed using a 1-1/2" annular drywall nail is 3/4", ensuring stability and proper fastening to the wall stud.
Step-by-step explanation:
The thickest drywall that can be installed using a 1-1/2" annular drywall nail is C. 3/4". This is because the nail needs to penetrate the drywall and extend into the wall stud by at least 5/8" to provide a secure hold. Therefore, 1/2" of the nail's length would be used for this purpose, leaving 1" to go through the drywall. Given this, the thickest drywall that can be used with these nails is 3/4", allowing 1/4" of space for the head of the nail to rest flush against the drywall.