The moon subtends an angle of 57 minutes at two diametrically opposite points on earth. Calculate the distance of the moon from the earth. Given, diameter of earth `=1.276xx10^7 m`.

Explanation

To solve the problem of calculating the distance of the moon from the Earth, we can follow these steps:

### Step 1: Understand the Geometry
The moon subtends an angle of 57 minutes at two diametrically opposite points on Earth. This means that if we consider the Earth as a circle, the angle subtended by the diameter of the Earth at the position of the moon is 57 minutes.

### Step 2: Convert Minutes to Radians
First, we need to convert the angle from minutes to radians. Since 1 degree = 60 minutes, we can convert 57 minutes into degrees and then into radians.

...