Question

I need an expression for d and how far the star is from the sun

Answer 1

Step 1

Find the distance between the sun and the star using SohCahToa.

For this problem we use Toa.

`\text{Tan}\theta=\frac{\text{opposite}}{\text{adjacent}}`

where;

`\begin{gathered} \theta=0.00001389^o \\ \text{adjacent}=\text{ d} \\ \text{Opposite}=\text{ 1 AU} \end{gathered}`

Step 2

Substitute and find the value of d

`\begin{gathered} \text{Tan}0.00001389=(1)/(d) \\ d=(1)/(Tan0.00001389) \\ \end{gathered}`
`d\text{ = 4}124966.128\text{ AU}`