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

I Need An Expression For D And How Far The Star Is From The Sun class=

Sagot :

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]

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