The device used in computing the horizontal and vertical distances rapidly and convenienty isa)stadia tableb)stadia diagramc)stadia slide rule d)none of above

To determine the correct answer to the question regarding the device used in computing horizontal and vertical distances rapidly and conveniently, we can analyze the options given:

1. Stadia Table: This is a surveying instrument used to read distances.
2. Stadia Diagram: This is usually a representation or chart used in conjunction with a stadia instrument but not a device itself.
3. Stadia Slide Rule: This is a type of slide rule that incorporates stadia principles for calculating distances.
4. None of the Above: This option would only be correct if none of the other options fit.

Analysis

• The stadia table is effectively used in surveying for measuring distances when used with a theodolite or leveling instrument and takes advantage of the stadia method for distance measurement.
• The stadia slide rule is specifically designed for computational purposes, allowing for rapid calculations related to distances based on stadia readings.

Conclusion

Among the choices, both the stadia table and the stadia slide rule have their uses in surveying, but since the question emphasizes computing distances rapidly and conveniently, especially in a practical sense likely favoring ease and speed, the best fit is:

Final Answer

c) stadia slide rule.