Question

A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then degrees. Show your set-up equation/work.

Answer 1

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

1 arc seconds =
`(1)/(60)` arc minute

12 arc seconds =
`(1)/(60) * 12` arc minute

12 arc seconds =
`(1)/(5)` arc minute

So, 12 arc seconds =
`(1)/(5)` arc minute

Now convert it into degrees

60 arc minute = 1 degree

1 arc minute =
`(1)/(60)` degree

`(1)/(5)` arc minute =
`(1)/(60) * (1)/(5)` degree

`(1)/(5)` arc minute =
`(1)/(300)` degrees

12 arc seconds =
`(1)/(300)` degrees