In this excerpt from Ronald Reagan's "Tear Down This Wall" speech, the type of appeal used is primarily a logical appeal. Reagan discusses the rationale behind maintaining the capacity to deter aggression, pursuing arms reductions, and the Strategic Defense Initiative. He presents a logical argument about the importance of defense that protects populations rather than targeting them, which aligns with reasoned thinking and logical conclusions aimed at increasing safety.
While there may be elements of ethical and emotional appeal as well, the focus on strategy and reasoning points to a logical appeal being the most prominent.