Step 1
Find the distance between the sun and the star using SohCahToa.
For this problem we use Toa.
[tex]\text{Tan}\theta=\frac{\text{opposite}}{\text{adjacent}}[/tex]
where;
[tex]\begin{gathered} \theta=0.00001389^o \\ \text{adjacent}=\text{ d} \\ \text{Opposite}=\text{ 1 AU} \end{gathered}[/tex]
Step 2
Substitute and find the value of d
[tex]\begin{gathered} \text{Tan}0.00001389=\frac{1}{d} \\ d=\frac{1}{Tan0.00001389} \\ \end{gathered}[/tex][tex]d\text{ = 4}124966.128\text{ AU}[/tex]
