Question

For a given location, the Sun’s position is at 40° Altitude angle and 130° N Azimuth angle. The Zenith Angle of the Sun (in degree) at that given location is _________

Hint:

The Zenith angle is simply the complement of the Altitude angle. When the Sun is directly overhead, the Altitude angle is 90°, and the Zenith angle is 0°.

Answer 1

Provided:
Sun's Altitude Angle = 40°
Sun's Azimuth Angle = 130° N
The Zenith Angle, defined as the angle between the Sun and the zenith (the point directly overhead), is calculated as follows:
\[{Zenith angle} = 90^\circ - {Altitude angle}\]Substituting the given Altitude Angle of 40°:
\[{Zenith angle} = 90^\circ - 40^\circ = 50^\circ\]Therefore, the Zenith Angle of the Sun at the specified location is 50°.