Answer:
Pathos: "For the families of the seven, we cannot bear, as you do, the full impact of this tragedy. But we feel the loss, and we're thinking about you so very much."
Ethos: "I've always had great faith in and respect for our space program, and what happened today does nothing to diminish it."
Explanation:
In the first quote, President Reagan appeals to the emotions of the American people by empathetically addressing the sorrow shared by them and the families of the astronauts. By acknowledging their pain and grief, Reagan creates an emotional connect between himself and the American people.
In the second quote, President Reagan demonstrates his credibility and experience by expressing his unwavering confidence for NASA's space program--despite the disaster with the Challenger. By appearing confident in their future endeavors, Reagan is able to enhance his authority and bring reassurance to the American people listening.