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tangent arc (non-sketch)

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I need to draw an arc tangent to both a spline and a straight line, with: 
 
  • the arc-start coincident with the spline start
  • the position of the arc-end on the straight line varying with the radius set by an expression
 
I know it is an easy job in sketch, but can't get it done outside sketch.
 
Thanks for your advice!
 
ScreenClip [3].png

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