To complete the solution, we need to convert the range of wind speeds for a strong gale (41-47 knots) from knots to miles per hour (mph). Here is the detailed step-by-step explanation:
1. We know that the range for a strong gale is between 41 and 47 knots.
2. To convert from knots to mph, we use the conversion factor: [tex]\(1 \text{ knot} \approx 1.15 \text{ mph}\)[/tex].
3. To find the lower bound of the wind speed range in mph, multiply the lower bound in knots by the conversion factor:
[tex]\[
41 \text{ knots} \times 1.15 \text{ mph/knot} = 47.15 \text{ mph}
\][/tex]
4. To find the upper bound of the wind speed range in mph, multiply the upper bound in knots by the conversion factor:
[tex]\[
47 \text{ knots} \times 1.15 \text{ mph/knot} = 54.05 \text{ mph}
\][/tex]
5. The best estimate for the wind speed in mph can be taken as the average of the lower and upper bounds in mph:
[tex]\[
\frac{47.15 \text{ mph} + 54.05 \text{ mph}}{2} = 50.60 \text{ mph}
\][/tex]
So, the best estimate for the wind speed during a strong gale, counted as 1.15 miles per hour for every knot, is [tex]\(50.60\)[/tex] miles per hour. Thus, the correct answer is [tex]\(50.60\)[/tex] miles/hour.
