I've a perhaps simple question: how can I estimate the number of measurements (cases) to obtain a accurate result?

Here an example:

I'ld like to know the average body length of a trout population in 100 ponds. The question is now, how many trouts of each pond do I need to measure. Indeed, measuring 100 per pond is better than 10. But is there somewhat like a statistical method to estimate the needed sample size per pond? I found some blogs dealing with reliability analysis, but they use it only for questionaries. Is there something similar for my case?

Thanks!