Convert the angle to a decimal in degrees. Round the answer to two decimal places.
-$$23 ^ { \circ } 47 ^ { \prime } 37 ^ { \prime \prime }$$
A) 23.84°
B) 23.52°
C) 23.94°
D) 23.79°

Question

Quizplus · Accepted Answer

To convert the angle to decimal form, first convert the minutes and seconds to degrees. There are 60 minutes in a degree and 3600 seconds in a degree. Thus, $47' = \frac{47}{60}^\circ$ and $37'' = \frac{37}{3600}^\circ$. Adding these to 23 degrees gives $23 + \frac{47}{60} + \frac{37}{3600} = 23.793611...$ degrees, which rounds to 23.79 degrees.

Convert the Angle to a Decimal in Degrees 23∘47′37′′23 ^ { \circ } 47 ^ { \prime } 37 ^ { \prime \prime }23∘47′37′′

Convert the Angle to a Decimal in Degrees $23 ^ { \circ } 47 ^ { \prime } 37 ^ { \prime \prime }$