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

Given:
Altitude angle of the Sun = 40°
Azimuth angle of the Sun = 130° N
The Zenith angle is the angle between the Sun and the zenith (the point directly overhead). It can be calculated using the following formula: \[ {Zenith angle} = 90^\circ - {Altitude angle} \] Substituting the given Altitude angle of 40° into the formula: \[ {Zenith angle} = 90^\circ - 40^\circ = 50^\circ \] Thus, the Zenith angle of the Sun at the given location is 50°.