<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A 76-year-old man is brought to the emergency room because of one episode of hemoptysis. His pulse is 110min. Physical examination shows pallor; there is blood in the oral cavity. Examination of the nasal cavity with a nasal speculum shows active bleeding from the posterior nasal cavity. Tamponade with a balloon catheter is attempted without success. The most appropriate next step in the management is ligation of a branch of a vessel of which of the following arteries?? A: Ophthalmic artery, B: Anterior cerebral artery, C: Facial artery, D: Occipital artery, E: Maxillary artery,  <response>: This is a clinical vignette about a 76-year-old man with hemoptysis coughing up blood. The details provided indicate he has posterior epistaxis nosebleed from the posterior nasal cavity. Tamponade with a balloon catheter was unsuccessful, so the next step would be surgical ligation of the bleeding vessel. The choices list different artery branches. Based on the anatomy, the maxillary artery supplies blood to the nasal cavity, so ligation of a branch of the maxillary artery would be the most appropriate next step.E: Maxillary artery 