\begin{tabular}{|c|c|l|}
\hline Category & Wind Speed (knots) & \multicolumn{1}{|c|}{ Description } \\
\hline 0 & less than 1 & calm \\
\hline 1 & [tex][tex]$1-3$[/tex][/tex] & light air \\
\hline 2 & [tex][tex]$4-6$[/tex][/tex] & light breeze \\
\hline 3 & [tex][tex]$7-10$[/tex][/tex] & gentle breeze \\
\hline 4 & [tex][tex]$11-16$[/tex][/tex] & moderate breeze \\
\hline 5 & [tex][tex]$17-21$[/tex][/tex] & fresh breeze \\
\hline 6 & [tex][tex]$22-27$[/tex][/tex] & strong breeze \\
\hline 7 & [tex][tex]$28-33$[/tex][/tex] & near gale \\
\hline 8 & [tex][tex]$34-40$[/tex][/tex] & gale \\
\hline 9 & [tex][tex]$41-47$[/tex][/tex] & strong gale \\
\hline 10 & [tex][tex]$48-55$[/tex][/tex] & storm \\
\hline 11 & [tex][tex]$56-63$[/tex][/tex] & violent storm \\
\hline 12 & [tex][tex]$64+$[/tex][/tex] & hurricane \\
\hline
\end{tabular}

On Sunday, a strong gale blows near Beth's house. The best estimate for the wind speed is [tex][tex]$\square$[/tex][/tex] miles/hour.

Note: One knot is about 1.15 miles/hour.



Answer :

To determine the estimated wind speed in miles per hour (mph) for a strong gale, we would follow these steps:

1. Determine the Range of Wind Speed in Knots for a Strong Gale:
- According to the given classification table, a strong gale corresponds to wind speeds of 41 to 47 knots.

2. Calculate the Average Wind Speed in Knots:
- Since we want the best estimate for the wind speed, we take the average of 41 and 47 knots.
- The calculation is [tex]\(\frac{41 + 47}{2} = 44\)[/tex] knots.

3. Convert Knot Speed to Kilometers per Hour (km/h):
- We use the conversion factor [tex]\(1\)[/tex] knot is approximately [tex]\(1.852\)[/tex] kilometers per hour.
- Therefore, [tex]\(44\)[/tex] knots is [tex]\(44 \times 1.852 = 81.488\)[/tex] kilometers per hour.

4. Convert Kilometers per Hour to Miles per Hour:
- We use the conversion factor [tex]\(1\)[/tex] kilometer per hour is approximately [tex]\(0.621\)[/tex] miles per hour.
- Therefore, [tex]\(81.488\)[/tex] kilometers per hour is [tex]\(81.488 \div 1.609 \approx 50.645\)[/tex] miles per hour.

So, the best estimate for the wind speed in miles per hour for a strong gale is [tex]\(\boxed{50.645}\)[/tex] miles/hour.