Final answer:
Verapamil is the drug that should be given to treat the stable tachycardia in this case.
Step-by-step explanation:
The drug that should be given in this case is Verapamil. Verapamil is a calcium channel blocker that can be used to treat stable tachycardia. It works by blocking calcium channels in the heart, which results in a decrease in the heart rate and can help to restore a normal heart rhythm. Adenosine is another drug commonly used for treating tachycardia, but it is more effective for treating paroxysmal supraventricular tachycardia (PSVT), which is not the case in this patient.