Question

how many degrees does the sun move per day relative to the fixed stars?
○ 0°
○ 1°
○ 12°
○ 23°
○ 360°
how many days does it take for the sun to return to its original location relative to the fixed stars?
○ 1
○ 27.3
○ 29.5
○ 365

Explanation:

First Question:

Step1: Recall solar motion

The Sun's annual motion relative to fixed stars is $360^\circ$ over ~365 days.

Step2: Calculate daily motion

Daily motion: $\frac{360^\circ}{365}\approx 1^\circ$ (approximate, as sidereal year is ~365.25 days, but $1^\circ$ is the closest option).

Step1: Define sidereal year

The time for Sun to return to original position relative to fixed stars is the sidereal year, ~365 days (closer to 365.25, but 365 is the option here).

Step2: Eliminate other options

1 day is too short, 27.3 is lunar orbital, 29.5 is lunar phase cycle.

Answer:

$1^\circ$ (Option: $1^\circ$)

Second Question: