Rotate Z or X Axis of tree Away from player.

I am trying to get a tree to fall, when tree is out of wood resource(random amount). At the moment i have the tree so it will very slowly, snail speed, sink into the ground. But at same time i want it to fall/rotate away from the player on the Z or X axis. I do not want the tree to fall on the player.

How can i achieve this?

Thanks in advance.

EDIT* Let me explain it better(hopefully): Say the player chops the tree from its south, the tree should fall to the north.Vice Versa: Player chops at trees west tree falls east. (Except -x, +x, -z, +z, instead of north, east,west and south)

Hope that explains a bit better! :)

CODE:

 void Update () {
         if(resourceAvailable <= 0){
             objectDead = true;
 
             switch(ObjectType){
             case Type.Tree:
 
 
                 TreeDead();
                 break;
             case Type.Rock:
                 
                 break;
             case Type.Animal:
                 
                 break;
             default:
                 break;
             }
 
         }
     }
 
     void TreeDead(){
             Vector3 fallPos = transform.position;
             fallPos.y -= treeSinkSpeed * Time.deltaTime;
             transform.position = fallPos;
     
             if(transform.rotation.x < 90){
                 Vector3 dir = transform.position - Player.position;
                 Vector3 axis = Vector3.Cross(dir, Vector3.up);
                 transform.rotation = Quaternion.AngleAxis(treeFallSpeed * Time.deltaTime, axis);

     //            Quaternion fallRotation = transform.rotation;
     //            fallRotation.x += treeFallSpeed * Time.deltaTime;
     //            transform.rotation = fallRotation;
             }
         }