Convert the following angle of degrees, minutes, and seconds form,
α = 23.574°
Solution:-
To convert α = 23.574° into degrees, minutes, and seconds form, you need to only convert the decimal part of α. Note that the integer part of α is already in degrees and so it will remain the same.
First convert -0.574° to minutes.
Since 1° = 60’, -0.574° * 60’ = -34.44’.
So, -23.574° = -23°34.44’.
Now, convert the decimal the decimal part of -34.44 to seconds.
Since 1’ = 60” , -0.44’ * 60’’ = -26.40”.
Putting all the pieces together, you get -23.574° = -23°34’26”.