To convert the distances of celestial objects from their given units to kilometers, we will use the appropriate conversion factors:
- We know 1 parsec (pc) is approximately 31 trillion kilometers (km).
- 1 astronomical unit (AU) is 1.5 × 10^8 kilometers (km).
Let's convert each distance step-by-step.
### 1. Distance of Object A in kilometers
The distance of Object A is given as 0.000001877 parsecs (pc).
To convert parsecs to kilometers, we use the conversion factor:
[tex]\[ 1 \text{ pc} = 31 \times 10^{12} \text{ km} \][/tex]
So,
[tex]\[ \text{Distance to Object A in km} = 0.000001877 \text{ pc} \times 31 \times 10^{12} \text{ km/pc} \][/tex]
[tex]\[ \text{Distance to Object A in km} = 58187000.0 \text{ km} \][/tex]
### 2. Distance of Object B in kilometers
The distance of Object B is given as 30.06 astronomical units (AU).
To convert AU to kilometers, we use the conversion factor:
[tex]\[ 1 \text{ AU} = 1.5 \times 10^{8} \text{ km} \][/tex]
So,
[tex]\[ \text{Distance to Object B in km} = 30.06 \text{ AU} \times 1.5 \times 10^{8} \text{ km/AU} \][/tex]
[tex]\[ \text{Distance to Object B in km} = 4509000000.0 \text{ km} \][/tex]
### 3. Distance of Object C in kilometers
The distance of Object C is given as 778.3 million kilometers (km).
Since it is already in kilometers, we don't need any conversion for Object C:
[tex]\[ \text{Distance to Object C} = 778300000.0 \text{ km} \][/tex]
### Summary of Distances in Kilometers:
- Distance to Object A: 58187000.0 km
- Distance to Object B: 4509000000.0 km
- Distance to Object C: 778300000.0 km
