Final answer:
The pouch formed by the base of the tongue and the epiglottis is called the vallecula, more specifically, the epiglottic vallecula.
Step-by-step explanation:
The pouch formed by the base of the tongue and the epiglottis is known as the vallecula. More specifically, it can be referred to as the epiglottic vallecula. This small depression or space is located at the base of the tongue just in front of the epiglottis and serves as an area where secretions can collect, helping to prevent foreign materials from entering the respiratory tract during swallowing.