And why are women attracted to it?

There is definitely such a thing as "inherent and objective" attractiveness. I've also seen it in every race, basically. Typically these guys have features that are sort of "average" and not super defining for their race, but they also look very distinct at the same time.

But the question is, what purpose does attractiveness serve? Note that I am separating attractiveness from height.
I think height is easy, it indicates that the man had more access to resources (which guarantees survival). A short man MAY have had access to resources, but you wouldn't know it. A tall man is GUARANTEED to have done so, because if he didn't, he wouldve died of starvation.

But what does facial attractiveness signify in a male? Is it an indicator of some sort? If so, what does it indicate?