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Provided you know the radius of the circle, then yes. We can imagine a right-angled triangle where the blue line is the hypotenuse. We can then work out the length of the adjacent side using the sine function, as the sine of the angle A is the opposite over the y=hypotenuse. So if
sin(A)=opp/r where r is the radius then
opp=sin(A)*r
The cosine function gives us the adajcent angle:
adj=cos(A)*r
You can then apply your multiplier to the length of the adjacent side of the RAT with the blue line as the hypotenuse. If you're moving 50% up the radius then you'd have to work out what percentage that is of the length of the adjacent side, and then calculate the length of the adjacent length of the notional right-angled triangle with the red line as the hypotenuse.
Then the tan function of the red angle would be that adjacent length divided by the opposite length calculated earlier. Give us some numbers and I'll do a worked example if that would help.
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Brommers
Geometry:
If I know the blue angle, then if I know how far up the vertical line I've moved, can I work out the red angle (without measuring) ie if I go up 50% is the angle to the original point now 30deg?