Convert the angle to degrees, minutes, and seconds.
-$127.53 ^ { \circ }$
A) $127 ^ { \circ } 31 ^ { \prime } 53 ^ { \prime \prime }$
B) $127 ^ { \circ } 32 ^ { \prime } 48 ^ { \prime \prime }$
C) $127 ^ { \circ } 29 ^ { \prime } 53 ^ { \prime \prime }$
D) $127 ^ { \circ } 31 ^ { \prime } 48 ^ { \prime \prime }$

Question

Quizplus · Accepted Answer

To convert $127.53^\circ$ to degrees, minutes, and seconds, first note that the degrees are given directly as 127. The decimal part, 0.53, must be converted to minutes and seconds. Since there are 60 minutes in a degree, $0.53 \times 60 = 31.8$ minutes. The integer part is 31 minutes. The decimal part of the minutes, 0.8, must be converted to seconds. Since there are 60 seconds in a minute, $0.8 \times 60 = 48$ seconds. Thus, the conversion is $127^\circ 31' 48''$.

Convert the Angle to Degrees, Minutes, and Seconds 127.53∘127.53 ^ { \circ }127.53∘

Convert the Angle to Degrees, Minutes, and Seconds $127.53 ^ { \circ }$