Final answer:
One degree equals 60 arcminutes, one arcminute equals 60 arcseconds, and one arcsecond equals 1/3600 of a degree, highlighting the precision needed in fields like astronomy.
Step-by-step explanation:
The terms mentioned such as degrees, arcminutes, and arcseconds are units used to measure angles. Within this context, one degree (denoted as °) is equivalent to 60 arcminutes (denoted as '), and one arcminute is further divided into 60 arcseconds (denoted as ").
Therefore, to complete each statement:
- 1 arcminute = 1/60 of a degree
- 1 arcsecond = 1/60 of an arcminute
- 1 arcsecond = 1/3600 of a degree
This system of angular measurement is crucial in fields like astronomy for describing very precise small angles, such as parallax measurements of stars. The fact that arcseconds are fractions of a degree emphasizes the precision needed when measuring astronomical distances or angles.