Convert the angle measure to decimal degree form $427 ^ { \circ } 50 ^ { \prime } 55 ^ { \prime \prime }$
A) $426.151 ^ { \circ }$
B) $427.050 ^ { \circ }$
C) $427.849 ^ { \circ }$
D) $7.454 ^ { \circ }$
E) $24,471.314 ^ { \circ }$

Question

Quizplus · Accepted Answer

To convert $427 ^ { \circ } 50 ^ { \prime } 55 ^ { \prime \prime }$ to decimal degrees, first convert the minutes and seconds to degrees. There are 60 minutes in a degree and 3600 seconds in a degree. Thus, $50 ^ { \prime }$ is $50/60 = 0.833 ^ { \circ }$ and $55 ^ { \prime \prime }$ is $55/3600 = 0.0153 ^ { \circ }$. Adding these to 427 degrees gives $427 + 0.833 + 0.0153 = 427.8483 ^ { \circ }$, which rounds to $427.849 ^ { \circ }$.

Convert the Angle Measure to Decimal Degree Form 427∘50′55′′427 ^ { \circ } 50 ^ { \prime } 55 ^ { \prime \prime }427∘50′55′′

Convert the Angle Measure to Decimal Degree Form $427 ^ { \circ } 50 ^ { \prime } 55 ^ { \prime \prime }$