Convert the given angle measure into degrees and decimal fractions of a degree.
-$81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }$
A) $81.507 ^ { \circ }$
B) $81.457 ^ { \circ }$
C) $81.497 ^ { \circ }$
D) $81.557 ^ { \circ }$

Question

Quizplus · Accepted Answer

To convert $81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }$ into degrees and decimal fractions of a degree, first convert the minutes and seconds into a decimal. There are 60 minutes in a degree and 60 seconds in a minute. Thus, $29' = 29/60$ degrees and $48'' = 48/3600$ degrees. Adding these to 81 degrees gives $81 + 29/60 + 48/3600 = 81.497 ^ { \circ }$.

Convert the Given Angle Measure into Degrees and Decimal Fractions 81∘29′48′′81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }81∘29′48′′

Convert the Given Angle Measure into Degrees and Decimal Fractions $81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }$