Occasionally you may encounter an angle that's given in the old fashioned degrees/minutes/second form, as described in the box on page 286 of the textbook. A degree is divided into 60 minutes (or minutes of degree), and a minute (of degree) is divided into 60 seconds. Let a = 3 degree 5'17". Then a = degrees (in decimal notation) and a = radians. Again, enter your answers showing at least 4 digits.

Answer:[tex]a=3.0881[/tex] degrees.[tex]a=(0.017156)\pi[/tex] rad  or[tex]a=0.053897[/tex] radStep-by-step explanation:Let's start writing some equivalences.1 degree = 60 minutes = 60'1 minute = 1' = 60 seconds = 60''Therefore, 1' = 60''  ⇒ 60' = 3600'' ⇒ 1 degree = 3600''For a = 3 degree 5'17'' we are going to transform the minutes and the seconds into degrees.60' = 1 degree ⇒5' = [tex]\frac{5}{60}[/tex] degreeFor the seconds :3600'' = 1 degree ⇒17'' = [tex]\frac{17}{3600}[/tex] degreeFinally :[tex]a=(3+\frac{5}{60}+\frac{17}{3600})[/tex] degrees[tex]a=3.0881[/tex] degrees.For radians, the equivalence is : 360 degrees = 2π radFor a = 3.0881 degrees ⇒360 degrees = 2π rad3.0881 degrees = [tex]\frac{(3.0881)2\pi }{360}[/tex] rad[tex]a=0.053897[/tex] rador in terms of π ⇒ [tex]a=(0.017156)\pi[/tex] rad