Answer:
[tex]\theta_{degrees} =0.024\°=0\°1'26.62''[/tex]
Explanation:
To solve the problem it is necessary to take into account the concepts related to arc length and the radius that make up the measurements of an angle.
An angle is given by the length of arc displaced as a function of the radius, that is
[tex]\theta = \frac{Arc_{length}}{Radius}[/tex]
[tex]\theta = \frac{17.3*10^{-3}}{71.9*10^{-2}}[/tex]
[tex]\theta = 0.02406rad[/tex]
360° is equal to do [tex]2\pi[/tex] rad, therefore:
[tex]\theta_{degrees} = 0.02406rad *(\frac{180\°}{2\pi rad})[/tex]
[tex]\theta_{degrees} =0.024\°=0\°1'26.62''[/tex]
