when the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is mieaured to be 35.72'' of arc. Calculate the diameter of Jupiter ?

Explanation

To calculate the diameter of Jupiter given its angular diameter and distance from Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Data**:
- Distance from Earth to Jupiter (D) = 824.7 million kilometers = \( 824.7 \times 10^6 \) km
- Angular diameter (θ) = 35.72 arcseconds

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