A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then degrees. Show your set-up equation/work.

Respuesta :

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