Currently i'm building a world where conventional warship is largely replaced by Kantai, anthropomorphized human female posessing power of modern warship. They are basicly a human sized girl that is so overpowered because they posess full power of a warship, in human sized package. (think of Kantai Collection, but set within present times, and more serious). The problem that currently makes me stuck is their firing range, since it will affect the tactics used in battle, so... to the questions.
From here, i will use data from Wikipedia for example. The Arleigh Burke Destroyer has an array weponary, including the Mark 45 5-inch deck cannon with effective firing range of 37 km, and Harpoon Anti-Ship missile with firing range of 130 km (correct me if im wrong). The Arleigh Burke also has speed in excess of 56 km/h, (lets assume it over 60 km/h).
Also, F/A-18 Super Hornet has combat range of 722 km with speed up to 1912 km/h and service ceiling is 15 km, while MiG-29K has combat range up to 850 km with low-alt speed up to 1400 km/h and service ceiling about 17,5 km(both are carrier-based multirole fighter). (again, correct me if im wrong)
So, the question is how i can scale those number to human size? By scaling, i mean the firing range of those weapons, combat range, speed, and service ceiling of those fighters will decrease 'accordingly' and the speed of the ship itself will increase.
The questions is mainly about the math that needed to calculate this, but feel free to add anything that maybe i missed.
Anyway, sorry for my english. It's not my first nor second language.
Image credits: me