Answer:The angular seperation is [tex]\theta =3.6\times 10^{-4}[/tex]
Explanation:
For two objects separated by a distance 's' and at a distance 'd' from the observer the angular separation ignoring the physical effects is given by
[tex]\theta =\frac{s}{d}[/tex]
In the given question
[tex]s=60\times 10^{6}km[/tex]
[tex]d=180[/tex] light years
We know that in 1 light year there are [tex]9.5\times 10^{12}km[/tex]
Using the calculated values we get
[tex]\theta =\frac{60\times 10^{6}}{9.5\times 10^{12}}\\\\\theta = 6.315\times10^{-6}radians[/tex]
Since π radians equals 180 degrees thus we have
[tex]\\\\\theta =\frac{6.315\times 10^{-6}\times 180}{\pi }degrees=3.6\times 10^{-4}degrees[/tex]
