Solve the Right Triangle $0.314$ Arc Seconds (Parallax Is the Change in Position of the Angles

Multiple Choice

Solve the right triangle. If two sides are given, give angles in degrees and minutes.
-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 $150,000,000 \mathrm {~km}$ and $\theta = 0.314$ seconds $= \frac { 0.314 } { 60 }$ minutes $= \frac { 0.314 } { 60 \cdot 60 }$ degrees, determine the distance $\mathrm { d }$ from Earth to 61 Cygni using Bessel's figures. Express the answer in scienti notation.

A) $9.85 \times 10 ^ { 13 } \mathrm {~km}$
B) $1.05 \times 10 ^ { 14 } \mathrm {~km}$
C) $2.28 \times 10 ^ { 13 } \mathrm {~km}$
D) $1.97 \times 10 ^ { 14 } \mathrm {~km}$