[Python] Calculating distance between two points using latitude longitude and altitude...

I'm trying to calculate distance between two points, using latitude longitude and altitude (elevation).

I was using euklides formula in order to get my distance:

D=√((Long1-Long2)²+(Lat1-Lat2)²+(Alt1-Alt2)²)


My points are geographical coordinates and ofcourse altitude is my height above the sea. I only have lat and lng, I'm using GOOGLE API Elevation to get my altitude.

I'm developing an application which calculates my traveled distance (on my skis). Every application which I have used, gets distance traveled with included altitude. Like #Endomondo or #Garmin I cannot get my distance in 2D space because true distances are going to vary from the ones I've returned.

Which formula would be the best to calculate my distance ? Ofcourse with included altitude.

I'm writing my app in Python, with PostGis.

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