If you are 21.5 South (Degrees), 150 East (Degrees) how far (in kms) are you from the South Pole?

15,966 km

http://www.nhc.noaa.gov/gccalc.shtml

I found it, it is

90'-21.5'x111.2
=68.5x111.2
=7,617km

You're right. I entered the wrong coordinates for the South Pole. Sorry.

To calculate the distance from a given latitude to the South Pole, you can use the formula for the length of a great circle arc on a sphere.

1. Convert the latitude from degrees to radians by multiplying by the factor π/180.
- Latitude in radians = 21.5 * (π/180)

2. Determine the distance from the South Pole by subtracting the latitude in radians from π/2 (which represents the South Pole's latitude in radians).
- Distance from the South Pole = π/2 - (21.5 * (π/180))

3. Calculate the distance in kilometers by multiplying the distance from the South Pole by the radius of the Earth. The average radius of the Earth is approximately 6,371 kilometers.
- Distance in kilometers = (π/2 - (21.5 * (π/180))) * 6,371

This will give you the approximate distance in kilometers from a latitude of 21.5 degrees south to the South Pole.