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