How to determine an 360° angle from relative direction?

Question

I have a minimap on the screen and having problems to determine the angle to a target relative to the camera.

Here is some drawing of what I mean with some examples of camera position and direction:

• The black triangles represent the camera.
• The black arrows define their forward direction.
• The blue arrows are the direction to the target (= red dot in the middle) from the camera.
• The circles in the specific cameras define the wanted orientation of its red dot.

Here's my code so far:

//Anchored position around minimap circle
void CalculateScreenPos(){
    Vector3 dir = transform.position - cam.position; //xz distance 
    dir.y = 0;
    angle = Angle360(cam.forward.normalized, dir.normalized, cam.right);

    Vector2 desiredPosition = new Vector2(
        eX * -Mathf.Cos(angle * Mathf.PI/180f) * dir.z, 
        eY * Mathf.Sin(angle * Mathf.PI/180f) * dir.x
    );

    minimapBlip.anchoredPosition = desiredPosition;
}

public static float Angle360(Vector3 from, Vector3 to, Vector3 right)
{
    float angle = Vector3.Angle(from, to);
    return (Vector3.Angle(right, to) > 90f) ? 360f - angle : angle;
}

But the angle seems not working properly, found out that it ranges from

0° + cam.eulerXAngles.x to 360° - cam.eulerAngles.x

So it works when the cam is never looking to the ground or sky.

How do I get rid of the unwanted added x-eulerAngles by not substracting/adding it again to the angle?

angle -= cam.transform.eulerAngles.x

is a bad choice as when the result of Angle360 is 360, it gets substracted again, leading immediatly to a wrong angle.

Also the circle can be an ellipsoid, that's why I have put eX and eY in the desired position that determine the extends of the ellipse.

Answer 1

I solved it:

angle = Mathf.Atan2(heading.x, heading.z) * Mathf.Rad2Deg-Camera.main.transform.eulerAngles.y;

Vector2 desiredPosition = new Vector2(
    eX * -Mathf.Cos((angle+90) * Mathf.Deg2Rad), 
    eY * Mathf.Sin((angle+90) * Mathf.Deg2Rad)
);

Thanks for the help so far and happy coding :D