Final answer:
Telescope accuracy is crucial and measured in arcminutes and arcseconds. One arcminute is 1/60 degree and one arcsecond is 1/3600 degree. The tiny angel measurements illustrate the precision required in astronomical observations.
Step-by-step explanation:
The level of accuracy required for a telescope is often measured in arcminutes and arcseconds, which are fine-grained units of angular measurement used to express very small angles in the sky. An arcminute is 1/60th of a degree, and an arcsecond is 1/60th of an arcminute, or 1/3600th of a degree. Therefore:
- 1 arcminute = 1/60 degree
- 1 arcsecond = 1/60 arcminute
- 1 arcsecond = 1/3600 degree
For example, astronomers had to overcome great challenges to measure stellar parallax, which involves detecting the tiny shifts in a star's position as Earth orbits the Sun. These shifts are minute fractions of an arcsecond, demonstrating the high-degree of accuracy needed for observational astronomy. The precision required is also illustrated by comparing an arcsecond to a coin the size of a US quarter, which would appear to be 1 arcsecond in diameter when viewed from about 5 kilometers away. This emphasizes just how minuscule these angles really are, necessitating very accurate telescopes.