How to find a point given two points and two angles?

Question

Geometry

A, B, C: Vector2
a: float

Answer 1

It's decided. Thanks to all!
c = new Vector2(ax, (b - a).magnitude * Mathf.Tan(maxAngle * Mathf.Deg2Rad) + ay);
where a - A, b - B, c - C, maxAngle - a

Answer 2

Google "aspect ratio in a right triangle".
Usually such a problem is solved not through the coordinates of the points, but through the lengths of the segments, but one can be easily translated into the other.

Answer 3

The Pythagorean theorem.