Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
-$5 ^ { \circ } 20 ^ { \prime } 38 ^ { \prime \prime }$
A) $53.35 ^ { \circ }$
B) $53.40 ^ { \circ }$
C) $53.34 ^ { \circ }$
D) $53.30 ^ { \circ }$

Question

Quizplus · Accepted Answer

To convert $5^\circ 20' 38''$ to decimal degrees, first convert the minutes and seconds to degrees. There are 60 minutes in a degree, so $20' = 20/60 = 0.333^\circ$. There are 3600 seconds in a degree, so $38'' = 38/3600 = 0.01056^\circ$. Adding these to the 5 degrees, we get $5 + 0.333 + 0.01056 = 5.34356^\circ$, which rounds to $5.34^\circ$, not matching any of the provided options, suggesting there might have been a misunderstanding in the question or the options provided.

Convert the Angle to Decimal Degrees and Round to the Nearest