Question by uuvozi · Dec 30, 2017 at 04:51 PM · c#camera distance

Unity: How Do I Find The Point Of A Camera That Is A Certain Amount Of Units Away From A Player And Passes Through The Mouse?

I want to set the camera 7.5f units away from a player based on where the mouse is in relation to the player.

Warning: Before you answer the question or leave a reply, I ask that you view the picture that I put towards the end of the question so you have an idea of what I am asking for. It is a diagram in which "Point A" is where the camera should be. It is a "for instance," meaning it is an example of what could be an outcome of the mouse, player, and camera.

I found the distance between the mouse and the player:

 //Distance: mouse -> player
 D1 = Mathf.Sqrt(Mathf.Pow(mousePos.x - player.transform.position.x, 2) 
     + Mathf.Pow(mousePos.z - player.transform.position.z, 2));

I set up the statement that will find the relation between the mouse and the player:

 if(mousePos.x - player.transform.position.x >= 0)
 {
     CamX = //Put Code Here
 }
 if (mousePos.x - player.transform.position.x <= 0)
 {
     CamX = //Put code Here
 }
 if (mousePos.z - player.transform.position.z >= 0)
 {
     CamZ = //Put Code Here
 }
 if (mousePos.z - player.transform.position.z <= 0)
 {
     CamZ = //Put Code Here
 }

Here are the variables that I am using:

 private float D1;
 private float D2;
 private float D3;
 private float CamX;
 private float CamZ;

Here is the section of code that I am working on. Don't take it as my full work for it is merely a brainstorm of code:

 ray = Camera.main.ScreenPointToRay(Input.mousePosition);
 
 if (Physics.Raycast(ray, out hit))
 {
     mousePos = new Vector3(hit.point.x, 0.8f, hit.point.z);
     //Distance: mouse -> player
     D1 = Mathf.Sqrt(Mathf.Pow(mousePos.x - player.transform.position.x, 2) 
         + Mathf.Pow(mousePos.z - player.transform.position.z, 2));
 
     if(mousePos.x - player.transform.position.x >= 0)
     {
         CamX = //Put Code Here
     }
     if (mousePos.x - player.transform.position.x <= 0)
     {
         CamX = //Put code Here
     }
     if (mousePos.z - player.transform.position.z >= 0)
     {
         CamZ = //Put Code Here
     }
     if (mousePos.z - player.transform.position.z <= 0)
     {
         CamZ = //Put Code Here
     }
     //Distance: mouse -> camera
     D2 = D1 + 7.5f;
     //Distance: player -> camera
     D3 = Mathf.Sqrt(Mathf.Pow(player.transform.position.x - CamX, 2)
         + Mathf.Pow(player.transform.position.x - CamZ, 2));
     ...

My Diagram

Here is a picture diagraming how I want everything to be positioned

My question is this:

How can I find the position of the camera (point(CamX, CamZ)) that is 7.5f units away from the player and passes through the coordinates of the mouse (point(mousePosX, mousePosZ)).

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