Convert the angle to degrees, minutes, and seconds.
-$82.72 ^ { \circ }$
A) $82 ^ { \circ } 43 ^ { \prime } 72 ^ { \prime \prime }$
B) $82 ^ { \circ } 43 ^ { \prime } 12 ^ { \prime \prime }$
C) $82 ^ { \circ } 43 ^ { \prime } 18 ^ { \prime \prime }$
D) $82 ^ { \circ } 43 ^ { \prime } 0 ^ { \prime \prime }$

Question

Quizplus · Accepted Answer

To convert 82.72 degrees to degrees, minutes, and seconds, first note that the decimal part is 0.72. Since 1 degree = 60 minutes, 0.72 degrees = 0.72 * 60 minutes = 43.2 minutes. The decimal part of the minutes (0.2) needs to be converted to seconds. Since 1 minute = 60 seconds, 0.2 minutes = 0.2 * 60 seconds = 12 seconds. Therefore, the conversion is $82 ^ { \circ } 43 ^ { \prime } 12 ^ { \prime \prime }$.

Convert the Angle to Degrees, Minutes, and Seconds 82.72∘82.72 ^ { \circ }82.72∘

Convert the Angle to Degrees, Minutes, and Seconds $82.72 ^ { \circ }$