Police are called to a home to investigate a suspicious death. Upon their arrival they immediately become suspicious of the husband of the victim (he claims it was a self inflicted wound) and think he may not be telling the truth surrounding the events of his spouses death. The victim has a bullet 6 inches from the head. The angle of the bullet is determined to be 72 degrees. By determining the height of the shot fired in relation to the wound, does the husbands story hold up?