Zenith on the celestial sphere – directional identification For an observer, which point on the celestial sphere is termed the zenith?

Introduction / Context:
The zenith is a basic reference direction used in astronomical observations and in surveying instruments such as the theodolite. Correctly identifying the zenith clarifies angle measurements and helps define the horizon system.

Given Data / Assumptions:

• The celestial sphere is an imaginary sphere centered at the observer.
• The local vertical (plumb line) defines the zenith–nadir axis.

Concept / Approach:
The zenith is the point on the celestial sphere where the observer’s vertical line, extended upward, intersects the sphere. It is the direction directly overhead. The opposite point is the nadir, directly beneath the observer.

Step-by-Step Solution:
Define local vertical → line through observer, perpendicular to horizon.Upward intersection with celestial sphere → zenith.Therefore, the zenith is directly above the observer.

Verification / Alternative check:
Instrument leveling aligns the theodolite's vertical axis with the plumb line; zenith angles are then measured from this overhead direction, confirming the definition.

Why Other Options Are Wrong:
East, west, north, and south are azimuthal directions along the horizon, not the vertical overhead direction.

Common Pitfalls:
Confusing zenith angle (measured from overhead) with altitude (measured from the horizon). They are complementary.

Final Answer:
Directly above the observer