Degrees Minutes and Seconds

Notes

Converting from D°M’S” form to Decimal Form
\(\hspace{25pt}\text{D°M’S”}=D+\displaystyle\frac{M}{60}+\displaystyle\frac{S}{3600}^{\circ}\)

Questions

Convert from D°M’S” form to Decimal Form

\(\textbf{1)}\) \(14^{\circ}\,22{‘}\,17{‘}{‘}\)
\(\textbf{2)}\) \(160^{\circ}\,56{‘}\,12{‘}{‘}\)
\(\textbf{3)}\) \(12^{\circ}\,35{‘}\,19{‘}{‘}\)
\(\textbf{4)}\) \(90^{\circ}\,42{‘}\,37{‘}{‘}\)

 

Convert from decimal form to D°M’S” Form

\(\textbf{5)}\) \(18.45^{\circ}\)
\(\textbf{6)}\) \(157.82^{\circ}\)
\(\textbf{7)}\) \(130.63^{\circ}\)
\(\textbf{8)}\) \(56.896^{\circ}\)

 

Find the reference angle for the following

\(\textbf{9)}\) \( 154^{\circ} 49′ \)Link to Youtube Video Solving Question Number 9

 

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