What size are these track pants?

They are tagged XL, with a measured 32-inch un-stretched waist, 33-inch inside leg, 13-inch rise and 8-inch hem. Compare those figures to pants you already own, since the tag size alone can mislead.

Are they new or used?

They are used and described as in good condition. Expect some signs of wear, and check the measurements rather than assuming a new fit.

What does tapered mean here?

The leg narrows toward the hem, giving a trimmer shape than straight-leg track pants. The 8-inch hem is the finished opening width.

The rise is 13 inches, measured from the crotch seam up to the waistband. That is a mid-to-high rise on most men.

Will a 32-inch waist fit me?

The waist measures 32 inches un-stretched, so it suits someone around that size, with the waistband stretching for comfort. If you normally wear a larger waist, these will likely be tight.