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Astronomers oftenmeasure largedistances usingastronomical units(AU) where 1 AU isthe average distancefrom Earth to theSun. In the image, drepresents thedistance from a starto the Sun. Using atechnique called"stellar parallax,astronomers determinedO is 0.00001389degrees.1. How faraway isthe starfrom theSun inastronomical units?Showyourreasoning.2. Write anexpression tocalculated for anystar.

Astronomers oftenmeasure largedistances usingastronomical unitsAU where 1 AU isthe average distancefrom Earth to theSun In the image drepresents thedistance fro class=

Respuesta :

In the given right triangle of the figure

we have that

sin(O)=1/d ----> by the opposite side divided by the hypotenuse in a right triangle

solve for d

d=1/sin(O)

[tex]d=\frac{1}{sin\left(0.00001389^o\right?}[/tex]

d=4,124,966.13 AU -----> two decimal places

the expression to calculate d for any star is equal to

[tex]d=\frac{1}{sin\left(O\right)}[/tex]

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