To convert the distance from miles to feet using dimensional analysis, we can use the conversion factor that 1 mile is equal to 5,280 feet.
Given:
- Distance to the moon = 250,000 miles
Conversion Factor:
- 1 mile = 5,280 feet
Calculation:
We can set up the calculation using dimensional analysis:
\[ \text{Distance (in feet)} = \text{Distance (in miles)} \times \left(\frac{\text{feet}}{\text{mile}}\right) \]
Substituting the values:
\[ \text{Distance (in feet)} = 250,000 , \text{miles} \times \left(\frac{5,280 , \text{feet}}{1 , \text{mile}}\right) \]
Next, we perform the multiplication:
\[ \text{Distance (in feet)} = 250,000 \times 5,280 , \text{feet} \]
Calculating this gives:
\[ \text{Distance (in feet)} = 1,320,000,000 , \text{feet} \]
Conclusion:
The distance from Earth to the Moon is 1,320,000,000 feet.