Question 1174508
Here's how to calculate the distance to the star using stellar parallax:

**Understanding Stellar Parallax**

* Stellar parallax is the apparent shift in the position of a star when viewed from different points in Earth's orbit around the Sun.
* This shift is very small and is measured as an angle (θ).
* The distance to the star is inversely proportional to the parallax angle.

**Calculations**

1.  **Relating Parallax to Distance:**
    * When the parallax angle (θ) is very small, we can use the approximation tan(θ) ≈ θ (in radians).
    * The relationship between distance (d), the baseline (1 AU), and the parallax angle (θ) is: tan(θ) = (1 AU) / d.
    * Therefore, d = 1 / tan(θ) AU.
2.  **Convert Degrees to Radians:**
    * θ = 0.00001389 degrees
    * To convert to radians, multiply by π / 180:
        * θ (radians) = 0.00001389 * (π / 180) ≈ 2.422 × 10⁻⁷ radians.
3.  **Calculate Distance:**
    * d = 1 / tan(2.422 × 10⁻⁷)
    * Since the angle is so small, tan(θ) is very close to θ.
    * d = 1 / (2.422 × 10⁻⁷) AU
    * d ≈ 4,128,819 AU.

**Therefore, the star is approximately 4,128,819 astronomical units away from the Sun.**