Two boundaries that have nothing to do with each other
This date sits at the end of a calendar month, and month ends attract a certain amount of meaning that they do not deserve astrologically. Months are administrative. Their lengths were set by decree in Rome and have been left alone since, and the Sun takes no notice of where one stops.
What the Sun does respond to is the ecliptic longitude it happens to occupy. Sagittarius begins at two hundred and forty degrees of that longitude, and at noon on 30 November the Sun has been between about seven and two fifths and eight and seven tenths degrees past that mark in every year from 1930 to 2035.
So the interesting boundary for this birthday is nowhere near it. The nearest one behind is the ingress from Scorpio, more than a week earlier, and the nearest one ahead is the entry into Capricorn, three weeks off.
Why the figure is so consistent
A tropical year is about a quarter of a day longer than a common calendar year. Left uncorrected, that would slide the seasons through the calendar at a day every four years, and a fixed date would work its way around the whole zodiac in something like fifteen hundred years.
The leap day stops it. The Sun runs about six hours late against the calendar each ordinary year and is hauled back by nearly a full day every fourth year, so a given date stays fixed to a given solar longitude to within a small fraction of the sign.
What remains is a slow drift of roughly a day per century, which the Gregorian rule about century years keeps in check. That residue explains why the lower end of the band belongs to recent years and the upper end to the older ones in the record.
Eight degrees, and the face it belongs to
Eight degrees is still inside the first decan of Sagittarius, which runs from the start of the sign to ten degrees. The Sun crosses into the second face a couple of days later, so this birthday is close to a decan boundary in a way it is nowhere near a sign boundary.
The Chaldean order gives the first face to Mercury and the triplicity scheme gives it to Jupiter. Read through Jupiter, the tradition describes the sign undiluted: interest in the general case, in travel and in what things add up to. Read through Mercury, the same outlook is described as obliged to show its working.
Those are interpretations rather than measurements, and this page marks them as such. The degree behind them is the checkable part, and the face is derived from it by division.
What is left unresolved
Fixing the Sun leaves most of a chart untouched. The Moon moves about thirteen degrees a day, so it may be in either of two signs on this date depending on the hour. The Ascendant passes through all twelve signs in a day and cannot be estimated from a birthday at all.
This is why the sun sign is the least individual thing a chart contains. Everyone born in roughly a month shares it, and the placements that differ between two people born on 30 November are exactly the ones the date cannot supply.
The widget above computes your own solar degree from your year and birthplace instead of matching you against a printed span, and it reports the distance from the nearest sign boundary. For a date this far inside the sign, that number simply confirms what the record already shows, which is a reasonable thing to have in writing.
Questions people ask about this
Is 30 November Sagittarius or Scorpio?
Sagittarius, without exception in the years on record. The Sun is more than seven degrees past the ingress, which is far more margin than the calendar drift can cover.
What is the solar degree on 30 November?
At noon it has fallen between roughly seven and a half and eight and seven tenths degrees of Sagittarius. Your own value depends on your year, hour and birthplace.
Which decan does this date fall in?
The first decan of Sagittarius, though only just. The Sun leaves that face at ten degrees, which it reaches a couple of days later.
Does the end of the month mean anything astrologically?
No. Month lengths are a calendar convention, while sign boundaries are positions on the ecliptic. The two happen to be near each other here and are otherwise unrelated.
Why do some sources put Sagittarius from 22 November?
Because they are quoting a rounded span. The ingress falls on the twenty first or twenty second depending on the year, so a fixed start date is a summary rather than a rule.
Would a birth time change my sun sign?
Not on this date. It would change the degree slightly, by up to about half a degree either side of the noon figure, and it would settle the Moon and the Ascendant.