Assuming the distance of the earth from the moon to be 38,400 km and the angle subtended by the moon at the eye of a person on the earth to be 31’, find the diameter of the moon.

Explanation

To find the diameter of the moon based on the given information, we can follow these steps:

### Step 1: Understand the relationship between the angle, distance, and arc length
The angle subtended by the moon at the eye of a person on Earth can be used to find the arc length (which is the diameter of the moon in this case) using the formula:
\[ l = r \cdot \theta \]
where \( l \) is the arc length (diameter of the moon), \( r \) is the distance from the Earth to the moon, and \( \theta \) is the angle in radians.
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