A man was found dead in his 51st story hotel room, assassinated. The room he was in is locked from the inside. He was slouched in a chair in front of one of the windows in the room. The carpet below the window was damp. The only sound in the room was the sound of the air conditioner. The bullet entered the back of his head and was loged in the base of his skull. It was determined that he was shot exactly where he sat, and that the bullet had been fired from over 30 meters way. The man had been dead for several hours. Since the windows had been locked from within, and the glass unbroken, how was he assassinated?