Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
-$$83 ^ { \circ } 43 ^ { \prime } 35 ^ { \prime \prime }$$
A) $83.73 ^ { \circ }$
B) $83.79 ^ { \circ }$
C) $83.69 ^ { \circ }$
D) $83.74 ^ { \circ }$

Question

Quizplus · Accepted Answer

To convert $83^\circ 43' 35''$ to decimal degrees, first convert the minutes and seconds to degrees. There are 60 minutes in a degree and 3600 seconds in a degree. So, $43' = 43/60$ degrees and $35'' = 35/3600$ degrees. Adding these to 83 degrees gives $83 + 43/60 + 35/3600 = 83.72639^\circ$, which rounds to $83.73^\circ$.

Convert the Angle to Decimal Degrees and Round to the Nearest