Respuesta :

its about 27k AU away

Answer:

6623 AU

Step-by-step explanation:

I assume the angle measure 0.000302 is in radians.

Draw a segment from the Sun to the Star.

Use the upper small triangle.

The angle at the Star measures 0.000151 radians.

The opposite leg measures 1 AU.

We need the hypotenuse which is the distance from the Star to Earth.

sin A = opp/hyp

sin 0.000151 rad = 1/x

x sin 0.000151 rad = 1

x = 1/(sin 0.000151 rad)

x = 6623

Answer: 6623 AU