Question about FOV

Hi all, i would know if there is an easy method to show a sprite with a calculated FOV to resize it with a calcul and one instruction or if we have to create each size of sprites. Its to imagine an easy game as Shufflepuck cafe but it's same for a race game with view behind the car and other things see with first person vision. I have seen some calculs to position the sprite depending of how far away it is but i don't know how to do for the size of the sprite. Calculate could be a solution if it's take not too long. Someone have aleady done it or know how to do ?