Answer
$275^{\circ}6^{\prime}1.8^{ \prime\prime}$
Work Step by Step
We need to solve $275.1005^{\circ}$.
Re-write as: $275.1005^{\circ}=275^{\circ}+0.1005^{\circ}$
Since, $1^{\circ}=60^{\prime}$
Thus, $275^{\circ}+0.1005^{\circ}=275^{\circ}+0.1005(60^{\prime})\\=275^{\circ}+6^{\prime}+0.03^{\prime}$
Since, $1^{\prime}=60^{\prime \prime}$
Thus, $275^{\circ}+6^{\prime}+0.03(60^{\prime \prime})=275^{\circ}6^{\prime}1.8^{ \prime\prime}$
