To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations ∠E_{1}SE_{2}, can be calculated. (The times are chosen so that ∠E_{1}SE_{2} is as large as possible, which guarantees that ∠E_{1}SO is 90°.) Alpha Centauri, the star nearest the earth, the measured angle ∠E_{1}SE_{2} has been found to be 0.000422°. Estimate the distance to this star. (Use 9.3 x 10^{7}miles as the distance from the earth to the sun)