Question

convert the angle to degrees, minutes and seconds form.
46.33°

46.33° = 46°

Explanation:

Step1: Find the decimal part in minutes

We know that \(1^{\circ}=60'\), so we take the decimal part of the degree (\(0.33\)) and multiply by \(60\) to get minutes.
\(0.33\times60 = 19.8'\)

Step2: Find the decimal part in seconds

Now, we take the decimal part of the minutes (\(0.8\)) and multiply by \(60\) to get seconds (since \(1' = 60''\)).
\(0.8\times60=48''\)

Step3: Combine the results

The whole number of degrees is \(46\), the minutes from step 1 (the whole number part) is \(19\), and the seconds from step 2 is \(48\).

Answer:

\(46^{\circ}19'48''\)