Question
Express the following angles in degrees, minutes and seconds : $(183.7)^{\circ}$

Answer

We know that $1^{\circ} = 60′$ and $1′ = 60″$
$= (183.7)^{\circ}$
$= 183^{\circ} +(0.7)^{\circ}$
$= 183^{\circ} + (0.7 \times 60)'$
$= 183^{\circ}+ 42′$
$= 183^{\circ} 42′$

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