Solve the Problem $$\theta = 0.314 \text { seconds } = \frac { 0.314 } { 60 } \text { minutes } = \frac { 0.314 } { 60 \cdot 60 } \text { degrees }$$

Essay

Solve the problem.
-In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate
the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61
Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as
Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and $$\theta = 0.314 \text { seconds } = \frac { 0.314 } { 60 } \text { minutes } = \frac { 0.314 } { 60 \cdot 60 } \text { degrees }$$ determine the distance d from Earth to 61 Cygni using Bessel's figures.