Convert the angle to D° M' S'' form. Round the answer to the nearest second.
-$310.04 ^ { \circ }$
A) $310 ^ { \circ } 2 ^ { \prime } 24 ^ { \prime \prime }$
B) $310 ^ { \circ } 23 ^ { \prime } 4 ^ { \prime \prime }$
C) $310 ^ { \circ } 3 ^ { \prime 2 } 3 ^ { \prime \prime }$
D) $310 ^ { \circ } 2 ^ { \prime } 4 " ^ { \prime \prime }$

Question

Quizplus · Accepted Answer

To convert $310.04^\circ$ to degrees, minutes, and seconds, first note that the whole number part is the degrees. The decimal part, $0.04$, represents the fraction of a degree. To find the minutes, multiply $0.04$ by 60 (since there are 60 minutes in a degree), which gives $2.4$ minutes. The whole number part is the minutes. The decimal part of the minutes, $0.4$, represents the fraction of a minute. To find the seconds, multiply $0.4$ by 60 (since there are 60 seconds in a minute), which gives $24$ seconds. Therefore, the conversion is $310^\circ 2' 24''$.

Convert the Angle to D° M' S'' Form 310.04∘310.04 ^ { \circ }310.04∘

Convert the Angle to D° M' S'' Form $310.04 ^ { \circ }$