The principle of parallax is used in the determination of distances of very distant stars. The baseline $A B$ is the line joining the Earth's two locations six months apart in its orbit around the Sun. That is, the baseline is about the diameter of the Earth's orbit $\approx 3 \times 10^{11} \mathrm{~m}$. However, even the nearest stars are so distant that with such a long baseline, they show parallax only of the order of $1^{\prime \prime}$ (second) of are or so. A parsec is a convenient unit of length on the astronomical scale. It is the distance of an object that will show a parallax of 1" (second) of arc from opposite ends of a baseline equal to the distance from the Earth to the Sun. How much is a parsec in terms of metres?