Answer:
The actual distance from Brooksville to Smithsville is 172 km.
Explanation:
Given,
The map scale is 0.5 cm is equal to 20 km.
The distance from Brooksville to Smithsville on the map is 4.3 centimeters.
We have to find out the actual distance from Brooksville to Smithsville.
Here we use the unitary method to find out the actual distance.
Solution,
![Since\ on\ the\ map\ 0.5\ cm=20\ km\\\\\therefore\ on\ the\ map\ 1\ cm=(20)/(0.5)\\\\\therefore\ on\ the\ map\ 4.3\ cm=(20)/(0.5)*4.3=40*4.3=172\ km](https://img.qammunity.org/2020/formulas/mathematics/high-school/b9lyjgh7zldn57vrh5bsz1jycs6r8alf3u.png)
Hence The actual distance from Brooksville to Smithsville is 172 km.