Given :
An angle 10 16' 15".
To Find :
The given angle into degrees.
Solution :
We know, 1° = 60' and 1' = 60".
Now,
[tex]15" = (15\times \dfrac{1}{60})^{'}\\\\15"= \dfrac{1}{4}^{'}=0.25^{'}[/tex]
Now, total minutes are :
(16 + 0.25)' = 16.25'
Converting 16.25' to degrees.
[tex]16.25^{'} = 16.25\times \dfrac{1}{60} ^o\\\\16.25^{'} = 0.271^o[/tex]
Therefore, angle in degree is ( 10+0.271 )° = 10.271° .
