A distant star is observed from two diametrically opposite points on earth. If both the points are at distance `1.27xx10^(7)m` and angle subtended by both the points at star is `0.80''`, calculate the distance between earth and the star.

Explanation

To solve the problem of calculating the distance between the Earth and a distant star observed from two diametrically opposite points on Earth, we can follow these steps:

### Step 1: Understand the Geometry
We have two points on Earth that are diametrically opposite, which means they are at the ends of a diameter of a circle (the Earth). The distance between these two points is equal to the diameter of the circle. The angle subtended by these two points at the star is given as \(0.80''\) (arcseconds).

### Step 2: Convert the Angle to Radians
First, we need to convert the angle from arcseconds to radians. The conversion is as follows:
\[
...