The Earth's Orbit Has a Mean Radius Of $1.5 \times 10 ^ { 8 } \mathrm {~km}$

Multiple Choice

The earth's orbit has a mean radius of $1.5 \times 10 ^ { 8 } \mathrm {~km}$ . Over a six-month period, the apparent position of a particular star varies by $0.00014 ^ { \circ }$ due to parallax. How many light-years is this star from Earth? (1 ly $= 9.46 \times 10 ^ { 15 } \mathrm {~m}$ )

A) $130 \mathrm { ly }$
B) $13 \mathrm { ly }$
C) $0.13 \mathrm { ly }$
D) $1.3 \mathrm { ly }$