Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
-$275 ^ { \circ } 57 ^ { \prime } 58 ^ { \prime \prime }$
A) $275.93 ^ { \circ }$
B) $276.03 ^ { \circ }$
C) $275.97 ^ { \circ }$
D) $275.98 ^ { \circ }$

Question

Quizplus · Accepted Answer

To convert degrees, minutes, and seconds to decimal degrees, divide the minutes by 60 and add the result to the degrees. Then, divide the seconds by 3600 and add the result to the degrees and minutes.$275 ^ { \circ } 57 ^ { \prime } 58 ^ { \prime \prime }$$= 275 ^ { \circ } + \frac { 57 ^ { \prime } } { 60 } + \frac { 58 ^ { \prime \prime } } { 3600 }$$= 275 ^ { \circ } + 0.95 ^ { \circ } + 0.0161 ^ { \circ }$$= 275.9661 ^ { \circ }$Round to the nearest hundredth of a degree:$= 275.97 ^ { \circ }$

Convert the Angle to Decimal Degrees and Round to the Nearest