Abstract: Apparatus (FIG. 1), for training in the rapid and accurate reaction to a situation confronting one or more trainees 12, 12' in an enclosed room 11, has one wall thereof formed by a screen portion 14 onto which an optical image is back-projected by projector 16. Each trainee's weapon 22 has a light emitter 24 responsive to firing the gun (containing blanks) at the screen to simulate the projectile impact point by spot 26. A television camera adjacent the projector and viewing the rear of the screen receives the spot and relates the position of this within the camera field to datum points of the projected image, the datum points 36' being visible to the camera and not the trainee.