Convert the given degree measure into degrees, minutes, and seconds of arc.
-$290.49 ^ { \circ }$
A) $290 ^ { \circ } 29 ^ { \prime } 49 ^ { \prime \prime }$
B) $290 ^ { \circ } 30 ^ { \prime } 23 ^ { \prime \prime }$
C) $290 ^ { \circ } 23 ^ { \prime } 49 ^ { \prime \prime }$
D) $290 ^ { \circ } 29 ^ { \prime } 24 ^ { \prime \prime }$

Question

Quizplus · Accepted Answer

To convert $290.49^\circ$ into degrees, minutes, and seconds, first, note that the degrees are $290^\circ$. The decimal part, $0.49$, represents the fraction of a degree. Since there are 60 minutes in a degree, multiply $0.49$ by 60 to get the minutes: $0.49 \times 60 = 29.4$ minutes. The integer part is $29$ minutes. The decimal part of the minutes, $0.4$, represents the fraction of a minute. Since there are 60 seconds in a minute, multiply $0.4$ by 60 to get the seconds: $0.4 \times 60 = 24$ seconds. Therefore, $290.49^\circ = 290^\circ 29' 24''$.

Convert the Given Degree Measure into Degrees, Minutes, and Seconds 290.49∘290.49 ^ { \circ }290.49∘

Convert the Given Degree Measure into Degrees, Minutes, and Seconds $290.49 ^ { \circ }$