ChaseCamera.cs

  public class ChaseCamera : MonoBehaviour {

    [Tooltip("The GameObject instance on the scene to match positions with (ie. Don't pick a prefab from the Assets list)")]
    public GameObject target;

    [Tooltip("Trail this far behind the target")]
    public float trailDistance;

    [Tooltip("Float this far above the target")]
    public float floatHeight;

    public void LateUpdate() {
      Follow();
    }

    /// Follow the target
    private void Follow() {
      if (target != null) {
        var pos = target.transform.position;
        gameObject.transform.position = pos - trailDistance * target.transform.forward + target.transform.up * floatHeight;
        gameObject.transform.LookAt(pos);
      }
    }
  }