Final answer:
The word with the same meaning as 'drastic' in the given sentence is 'extreme'. Drastic implies a severe action, which closely aligns with the definition of extreme. The correct option is A.
Step-by-step explanation:
The word that has the same meaning as drastic in the given sentence is extreme. A drastic measure implies taking an action that is severe or serious in its implications or effects. The other options given do not closely match the meaning of drastic in this context. Vigorous implies a strong, active, or forceful action; quick denotes something done with speed; and simple refers to something that is straightforward or easy, which is not similar to the concept of severity implied by drastic. The correct option is A.