Finding position of A and B based on distance from anchor and heading angle from A to B.

Question

This is my follow up question from previous question.

previous question: Is is possible to find position based on distance from origin and heading angle from point a to b?

I have graph like this.

Let assume that origin (or anchor) is positioned at (0,0).

We know distance from the anchor to point A and point B. (lets say they are dA and dB).

Then, We know headind angle from point A to Point B. (Lets say it is θ).

Then, We know heading angle from Anchor to point A (Lets say is is µ).

Finding position of A is not hard.

xA = dA * cos(µ)
yA = dA * sin(µ)

Yet, finding position of B is quit ambiguous.

I know heading angle from A to B. Thus, I can find the position of point B relative to Position A and calculate absolute position by

xB = xA + (distance from A to B) cos(90-θ)
yB = yA + (distance from A to B) sin(90-θ)

How am I able to come up with distance from A to B? I know distance from anchor to B but not distance from A to B.

Does my approach on this question correct?

Any advice would be very appreciated!