The event you describe would occur about 49 nautical miles outside (north of) the Antarctic Circle. --About 15 arcminutes north the Circle since you're observing the Sun's upper limb, not the disk's center. (The Sun disk's semidiameter is about 15 arminutes). --And an additional 34 arcminutes north because of atmospheric refraction. The 34' is a typical amount (given a few arcminutes differently by different sources) of refraction for celestial bodies observed at the horizon, and can vary considerably depending on atmospheric conditions; refraction would diminish with increased altitude of the observer.

The Antarctic Circle is about 23 degrees 46 minutes north of the South Pole, along the South 66 degrees 44 minutes parallel. The parallel where the event would be seen would be about South 65 degrees 55 minutes.