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How to determine the distances to faraway stars and galaxies

The distances between the planets are drawn to scale in this diagram, but the sizes of the planets and the sun are vastly exagerated because the scale size of the Sun, for example, would be an almost invisible point of only 0.014 millimeter in diameter, and the Earth would be a tiny 0.00013 mm, that is, about a thousand times smaller than this period .

On the same scale the distance to nearest star (alpha centauri) would be 0.25 miles (400 m) and the distance to the nearest galaxy (Magellanic cloud) would be an astonishing 8,000 miles (12 880 km), or in reality, 137 000 light-years. As a comparison: light requires a bit over eight minutes to travel from the sun to the earth (93 million miles) and over 5 hours to travel to the outer reaches of Pluto.

The fastest spacecraft so far designed is presently leaving our solar system. It would have to travel over 90,000 years to reach the nearest star, which means travelling to other stars will be impossible for the forseeable future !
Of course, future technologies might propel a spacecraft considerably faster, but even at a speed a thousand times faster would still require a travelling time of 90 years for a one way trip. And this does still not take into account the many years it would take to speed up and then slow down the spacecraft.

One light-year is about 5,900 billion miles in length, or 5,900,000,000,000 miles.

www link :
An Atlas to the Universe