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 ∠E₁SE₂, can be calculated. (The times are chosen so that ∠E₁SE₂ is as large as possible, which guarantees that ∠E₁SO is 90°.) Alpha Centauri, the star nearest the earth, the measured angle ∠E₁SE₂  has been found to be 0.000422°. Estimate the distance to this star. (Use 9.3 x 10⁷miles as the distance from the earth to the sun)