Which type of level can be used for sighting up to 360 degrees and over a distance of 300 feet?

The engineer's level is specifically designed for precision leveling and is capable of providing accurate readings over long distances, such as 300 feet. Its features include a telescope that allows for a wide field of view, which facilitates sighting up to 360 degrees. This capability makes it ideal for work in surveying and construction where horizontal measurements across large areas are required.

In contrast, a hand level is typically limited in range and is used for quick, approximate leveling, making it inadequate for precise measurements over longer distances or broad sighting angles. A clinometer is primarily designed for measuring angles of slope rather than for leveling over long distances. Lastly, while a surveyor's level is also a precise instrument used in leveling and surveying, its typical use case does not emphasize the 360-degree sighting feature as prominently as the engineer's level. Thus, the engineer's level stands out as the most suitable option for the requirements stated in the question.