well if its just to simulate contact reports i dont see the harm
i remember sum1 telling me the most sum1 can see due to the earth and stuff.. probably did it at school and forgot so i did sum looking into it. Dont know if any1 actually cares but i thought it wud be interesting lol
If your looking for realism and realism alone your watchmen would only be able to see a maximum of 8KM most likely.. and thats with the naked eye or bino's due to the curvature of the earth.
This is the formula to find it out. And this is assuming that because of the extra height gained from being on a conning tower, the watchmens eye hight from sea level is 5 meters up..
D = Square root of (13 x H)
D = max Distance visible H = height above sea level
So as said assuming ur eye level is 5 metres above sea level
The square root of 13 x 5 = 8.06225774829855 Km