Answer
$2.525359\times10^{13}mi$
Work Step by Step
Step 1. Identify the quantities: distance from the Earth to the Sun $E_1O=9.3\times10^7mi$,
angle $\angle E_1SO=0.000211^\circ$
Step 2. Use the figure given in the problem, in the right triangle of $\Delta E_1OS$, $sin0.000211^\circ=\frac{E_1O}{E_1S}$, thus the distance from the Earth to this star is $E_1S=\frac{E_1O}{sin0.000211^\circ}
=\frac{9.3\times10^7}{sin0.000211^\circ}\approx2.525359\times10^{13}mi$