From two diametrically opposite points A and B on earth, moon is observed. The angle `theta` subtended at the moon by the two directions of observation is `1^@ 54^1`. If radius of earth is` 0.638 xx 10^7` m, find the distance of the moon from the earth.

Explanation

To solve the problem of finding the distance of the moon from the Earth based on the given angle subtended and the radius of the Earth, we can follow these steps:

### Step 1: Convert the angle from degrees to radians
The angle \( \theta \) is given as \( 1^\circ 54' \). To convert this to radians, we first convert the minutes to degrees and then to radians.

1. Convert minutes to degrees:
\[
54' = \frac{54}{60}^\circ
...