Question

Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.
DIstance:
the moon is 250,000 miles away from earth. how many feet is it from earth?

Answer 1

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**.