Convert the angle to a decimal in degrees. Round the answer to two decimal places.
-$$21 ^ { \circ } 17 ^ { \prime } 34 ^ { \prime \prime }$$
A) 21.22°
B) 21.29°
C) 21.34°
D) 21.37°

Question

Quizplus · Accepted Answer

To convert the angle to decimal degrees, we first convert the minutes and seconds to degrees. There are 60 minutes in a degree and 3600 seconds in a degree. So, $17' = 17/60$ degrees and $34'' = 34/3600$ degrees. Adding these to 21 degrees, we get $21 + 17/60 + 34/3600 = 21.29278$, which rounds to $21.29^\circ$.

Convert the Angle to a Decimal in Degrees 21∘17′34′′21 ^ { \circ } 17 ^ { \prime } 34 ^ { \prime \prime }21∘17′34′′

Convert the Angle to a Decimal in Degrees $21 ^ { \circ } 17 ^ { \prime } 34 ^ { \prime \prime }$