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 from degrees, minutes, and seconds to decimal degrees, we simply convert each unit to its equivalent in degrees and add.

$427 ^ { \circ } 50 ^ { \prime } 55 ^ { \prime \prime } = 427 + \dfrac{50}{60} + \dfrac{55}{3600} = 427.849 ^ { \circ }$

Therefore, the best choice is (C).

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 $427 ^ { \circ } 50 ^ { \prime } 55 ^ { \prime \prime }$