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”.