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

ANSWER :

tan θ = 1/d

and

2.6

EXPLANATION :

Using tangent function :

$\tan\theta=\frac{opposite}{adjacent}$

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

That will be :

$\tan\theta=\frac{1}{d}$

The answer is D.

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

$\begin{gathered} \tan20.75=\frac{1}{d} \\ d=\frac{1}{\tan20.75} \\ d=2.6 \end{gathered}$

The answer is 2.6