Question

Use the information to answer questions 6-7.Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, d represents the distance from a star to the Sun. The star creates an angle, θ, between the Sun and the Earth.

Answer 1

tan θ = 1/d

and

2.6

EXPLANATION :

Using tangent function :

`\tan\theta=(opposite)/(adjacent)`

From the problem, the side opposite to the angle is "1", and the adjacent side is "d"

That will be :

`\tan\theta=(1)/(d)`

The answer is D.

If the angle is 20.75 degrees, the value of d will be :

`\begin{gathered} \tan20.75=(1)/(d) \\ d=(1)/(\tan20.75) \\ d=2.6 \end{gathered}`

The answer is 2.6