Administer the medication using a Z-track technique

The correct answer is A: Administer the medication using a 5/8-inch needle. The Z-track technique involves pulling the skin and tissue laterally before administering the medication to ensure it is deposited deep into the muscle and prevents leakage. Using a 5/8-inch needle is appropriate for this technique as it is long enough to reach the muscle layer but not too long to cause unnecessary trauma. Administering the medication in the deltoid muscle (choice B) is incorrect for Z-track technique as it is typically used for intramuscular injections in the ventrogluteal or dorsogluteal sites. Administering the medication at a 45┬░ angle (choice C) is also incorrect as the Z-track technique requires a straight insertion followed by a lateral shift.