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Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, represents the distance from a star to the Sun. Using a technique called “stellar parallax,” astronomers determined θ is 0.00001389 degrees.



How far away is the star from the Sun in astronomical units?Show your reasoning.

Astronomers often measure large distances using astronomical units AU where 1 AU is the average distance from Earth to the Sun In the image represents the dista class=

Respuesta :

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Answer:

4125000Au

Step-by-step explanation:

my teacher just went over this for our test  

The distance between the star and the sun is 4124966.128 AU and this can be determined by using the trigonometric function.

Given :

  • Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun.
  • The image, represents the distance from a star to the Sun.
  • Using a technique called “stellar parallax,” astronomers determined θ is 0.00001389 degrees.

The following steps can be used in order to determine the distance between the star and the Sun in astronomical units:

Step 1 - The trigonometric function can be used in order to determine the distance between the star and the Sun in astronomical units.

Step 2 - The sine function can be used to determine the distance.

[tex]\rm sin\theta=\dfrac{P}{H}[/tex]

where P is the perpendicular and H is the Hypotenuse.

Step 3 - Substitute the known terms in the above expression.

[tex]\rm sin(0.00001389)=\dfrac{1}{d}[/tex]

Step 4 - Simplify the above expression.

d = 4124966.128

For more information, refer to the link given below:

https://brainly.com/question/21286835

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