Final answer:
Enveloped viruses are typically released from the host cell through a process called budding, which allows them to exit the cell by wrapping themselves in part of the cell membrane without immediately destroying the cell.
Step-by-step explanation:
Enveloped viruses are usually released from the host cell by budding. During the budding process, the virus wraps itself in a portion of the host cell's plasma membrane before severing this connection and leaving the cell. This method of viral release allows the host cell to remain intact, at least temporarily, and not be destroyed immediately as it might be in a lytic cycle. Lysis of the host cell, which is another form of viral progeny release, is more characteristic of non-enveloped viruses, as these types of viruses may accumulate within an infected cell until it bursts. Endocytosis and phagocytosis are processes that involve a cell taking in material from the outside environment, rather than releasing it, and so they do not describe the release of viruses from a host cell.