Answer
(a) $ 32.34^\circ$
(b) $63^\circ+10'+48''$
Work Step by Step
(a) We know the conversions $1^\circ=60'$ and $1'=60''$
Therefore, $32^\circ 20'35''=(32^\circ+\dfrac{20}{60}^\circ+\dfrac{35}{60\cdot60}^\circ) \approx 32.34^\circ$
(b) We know the conversions $1^\circ=60'$ and $1'=60''$
Therefore, $63.18^\circ=63^\circ+(0.18) \cdot (60') \\=63^\circ+10.8'\\=63^\circ+10'+(0.8) \cdot (60'') \\=63^\circ+10'+48''$
