Certainly! Let's work through this problem step-by-step to find the length of the bridge in miles.
1. Given Information:
- The length of the bridge is 4542.658 yards.
2. Conversion Factor:
- We know that 1 mile is equivalent to 1760 yards.
3. Calculating the Length in Miles:
- To convert the length from yards to miles, we can use the following relationship:
[tex]\[
\text{Length in miles} = \frac{\text{Length in yards}}{\text{Yards per mile}}
\][/tex]
- Substituting the given values, we get:
[tex]\[
\text{Length in miles} = \frac{4542.658 \text{ yards}}{1760 \text{ yards per mile}}
\][/tex]
4. Performing the Division:
- Let's calculate this division:
[tex]\[
\text{Length in miles} = \frac{4542.658}{1760} \approx 2.581055681818182
\][/tex]
5. Rounding to the Nearest Tenth:
- To round the result to the nearest tenth, we look at the first digit after the decimal point:
- The number [tex]\(2.581055681818182\)[/tex] has [tex]\(5\)[/tex] in the hundredths place.
- Since [tex]\(5\)[/tex] is equal to or greater than [tex]\(5\)[/tex], we round up the tenths place.
Therefore, the rounded result is:
[tex]\[
2.6
\][/tex]
Conclusion:
The length of the bridge in miles, rounded to the nearest tenth, is 2.6 miles.
