Answer:
Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.
To Find :Convert this number into first arc minutes then degrees.
Solution:
60 arc seconds = 1 arc minute
1 arc seconds = [tex]\frac{1}{60}[/tex] arc minute
12 arc seconds = [tex]\frac{1}{60} \times 12[/tex] arc minute
12 arc seconds = [tex]\frac{1}{5}[/tex] arc minute
So, 12 arc seconds = [tex]\frac{1}{5}[/tex] arc minute
Now convert it into degrees
60 arc minute = 1 degree
1 arc minute = [tex]\frac{1}{60}[/tex] degree
[tex]\frac{1}{5}[/tex] arc minute = [tex]\frac{1}{60} \times \frac{1}{5}[/tex] degree
[tex]\frac{1}{5}[/tex] arc minute = [tex]\frac{1}{300} [/tex] degrees
12 arc seconds = [tex]\frac{1}{300} [/tex] degrees