The nearest star from our solar system is 4.29 light year away. How much is this distance in terms of par sec? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the earth six months apart in its orbit around the sun?

Explanation

To solve the problem step by step, we will first convert the distance from light years to parsecs and then calculate the parallax angle for Alpha Centauri.

### Step 1: Convert Light Years to Meters
We know that:
1 light year = \(9.46 \times 10^{15}\) meters.

Given the distance to Alpha Centauri is 4.29 light years, we can calculate the distance in meters:
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