Ethos does which of the following?

appeals to the audience's logic
appeals to the audience's emotions
appeals to the audience's ethics
none of the above

The answer is: appeals to the audience's ethics.

In rhetoric, ethos is one of the three modes of persuasion (the other two being pathos and logos). Ethos, in particular, according to Aristotle, refers to the speaker´s moral competence, expertise or knowledge, but even though it springs from the speaker, it is the audience that should determine the value of the ethical or moral grounds laid by the speaker, so that it becomes an appeal to the audience´s cultural and historical appraisal of what is morally valuable in the speaker´s argument, making the argument more or less persuasive.  

either a donut or a sphere or a pancake or a flat sphere. it depends on where the vertical line is.

if the line goes through the center of the circle and is perpendicular to a diameter containing the center, then you get a flat circle.

if the line and the diameter of a the circle meet in the center of the diameter and at an angle, you get a pancake.

if the line is on the circumference of the circle and is at right angles   to the circle you get a ring.

if the line contains the diameter, you get a sphere.

the the line is parallel to the diameter and touches the circumference, you get a donut.