Question

Evaluate $ {30^ \circ }{30'} $ in degree?
a) $ {61^ \circ } $
b) $ {\dfrac{{61}}{2}^ \circ } $
c) $ {61^ \circ } $
d) None of these

Answer 1

Hint: We know that 1 degree = 60minutes, 1 minute = 60seconds. To convert min in degree, one minute is equal to 1 by 60 degrees and then to convert sec in degree, one second is equal to 1 by 3600 degrees. So the formula for converting in degree is, $ degree = d + \dfrac{{\min }}{{60}} + \dfrac{{\sec }}{{3600}} $ .

Complete step-by-step answer:
As, we know that $ 1' = \dfrac{{{1^ \circ }}}{{60}} $
So, converting 30 min in degree,
 $ 30' = \dfrac{{{{30}^ \circ }}}{{60}} $
Now,
Adding $ {30^ \circ } $ and $ {30'} $ , we have
 $ = {30^ \circ } + {\dfrac{{30}}{{60}}^ \circ } $
 $ = {30^ \circ } + {\dfrac{1}{2}^ \circ } $
 $ = {\dfrac{{61}}{2}^ \circ } $
So, the correct answer is “Option b”.

Note: Coordinates for latitude and longitude are frequently expressed in degrees, minutes, and seconds.
In some questions, the degree may be presented in decimal form and the student must convert it to degrees, minutes, and seconds. To answer such questions, we must do the following steps: To convert a degree to minutes, multiply the decimal component of the degree by 60. The decimal component of the minutes is then multiplied by 60 to convert it to seconds. After that, I wrote the degree, minute, and second parts separately. DMS notation refers to the use of degrees-minutes-seconds.