Question

convert the angle to degrees, minutes, and seconds notation.
92.22°

92.22° = □°□′□′′

Explanation:

Step1: Separate the whole number and decimal part

The given angle is \(92.22^\circ\). The whole number part is the degrees, so we have \(92^\circ\) already. Now we take the decimal part \(0.22\) and convert it to minutes. Since \(1^\circ = 60'\), we multiply the decimal part by \(60\).
\[0.22\times60 = 13.2'\]

Step2: Separate the whole number and decimal part of minutes

Now we have \(13.2'\). The whole number part is the minutes, so we have \(13'\) already. Now we take the decimal part \(0.2\) of the minutes and convert it to seconds. Since \(1' = 60''\), we multiply the decimal part by \(60\).
\[0.2\times60 = 12''\]

Answer:

\(92^\circ 13' 12''\)