High Noon

Geometry Level 5

On a specific day, Earth's axis of rotation is along the unit vector which has spherical coordinates

\[ r = 1, \theta = 23.44^{\circ}, \phi = -45^{\circ} \]

with respect to a frame centered at the center of Earth, and with its z-axis perpendicular to the orbital plane of Earth around the Sun, and with its x-axis passing through the center of the Sun.

With respect to a point on Earth that has a latitude of \( 30^{\circ} \) North, what is the maximum angle of elevation of the Sun above the horizon ? (In degrees, correct to two decimal places)


Problem Loading...

Note Loading...

Set Loading...