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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.

Use the information to answer questions 67Astronomers often measure large distances using astronomical units AU where 1 AU is the average distance from Earth to class=

Respuesta :

ANSWER :

tan θ = 1/d

and

2.6

EXPLANATION :

Using tangent function :

[tex]\tan\theta=\frac{opposite}{adjacent}[/tex]

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

That will be :

[tex]\tan\theta=\frac{1}{d}[/tex]

The answer is D.

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

[tex]\begin{gathered} \tan20.75=\frac{1}{d} \\ d=\frac{1}{\tan20.75} \\ d=2.6 \end{gathered}[/tex]

The answer is 2.6

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