Which instrument can read horizontal and vertical angles electronically?

The correct answer is the theodolite because it is a specialized instrument designed to measure both horizontal and vertical angles with high precision. Theodolites often feature electronic components that allow for easy reading and recording of these angles, enhancing accuracy and efficiency in surveying tasks.

A surveying tripod serves primarily as a stable support for these instruments but does not itself measure angles. Similarly, a level rod is used in conjunction with leveling instruments to determine elevation differences rather than angles. A transit, while it can measure horizontal angles and offers a simpler version of the theodolite, typically requires manual reading of angles and may not have the same electronic capabilities as a modern electronic theodolite. Thus, the theodolite stands out as the best choice for reading both horizontal and vertical angles electronically.