Step 1

Use the unitary method to convert the minutes and seconds into decimals.

\(39'=39\ min\)

\(=\left(\frac{39}{60}\right)^{\circ}\)

\(=0.65^{\circ}\)

\(52''=52\ sec\)

\(=\left(\frac{52}{60\ \times\ 60}\right)^{\circ}\)

\(=0.01444^{\circ}\)

Step 2

Now, convert the angle into decimals.

\(258^{\circ}\ 39'\ 52''=258^{\circ}+0.65^{\circ}+0.01444^{\circ}\)

\(=258.66444^{\circ}\)

\(\approx258.6644^{\circ}\)

Hence, \(258^{\circ}\ 39'\ 52''=258.6644^{\circ}\)

Use the unitary method to convert the minutes and seconds into decimals.

\(39'=39\ min\)

\(=\left(\frac{39}{60}\right)^{\circ}\)

\(=0.65^{\circ}\)

\(52''=52\ sec\)

\(=\left(\frac{52}{60\ \times\ 60}\right)^{\circ}\)

\(=0.01444^{\circ}\)

Step 2

Now, convert the angle into decimals.

\(258^{\circ}\ 39'\ 52''=258^{\circ}+0.65^{\circ}+0.01444^{\circ}\)

\(=258.66444^{\circ}\)

\(\approx258.6644^{\circ}\)

Hence, \(258^{\circ}\ 39'\ 52''=258.6644^{\circ}\)