As u look at the stars that re beyond and farther away, what occurs to the angle measured at earth? at what point will this method no longer work?

Someone please help explain

I am not quite sure what you are asking, but it seems to be related to the "parallax" method of measuring star distances.

As the earth moves around the sun, we look at stars from different angles, and the "nearby" stars appear to move back and forth by a very small angle compared to the stars that are much farther away. A complete back-and-forth cycle takes one year. The apparent motion of a star can be used to compute its distance, if it is close enough to be able to measure the effect. The method is only accurate for stars within about 50 light years. Stars farther away move by an amount too small to measure.

thank you drwls,Yes, I was referring to Parallax, :-):);)

When we look at the stars in the night sky, we are essentially observing them from the surface of the Earth. As we look at stars that are farther away, the angle at which we observe them from Earth becomes smaller.

To understand this, let's imagine an observer standing at point A on the Earth's surface looking at a star directly above their head, point B. This forms a line connecting the observer and the star, which we can call the line of sight.

Now, let's imagine that the observer moves to a different location on Earth, point C, while still looking at the same star. With the new location, the observer's line of sight will now form a triangle with point A and the star at point B. As point C moves farther away from point A, the angle at point A will become smaller.

This phenomenon occurs because the Earth is essentially a sphere, and as we move away from a star, our line of sight begins to converge towards the Earth's center. This means that as stars become farther away, the angle of observation from Earth decreases.

However, there is a practical limit to this method. Beyond a certain point, known as the "observable universe," looking at fainter and more distant stars simply becomes impossible due to various factors. The observable universe is currently estimated to be about 93 billion light-years in diameter. This means that beyond this distance, the light from stars and galaxies has not had time to reach us since the beginning of the universe. Therefore, using this method, we will no longer be able to observe stars beyond the observable universe.