Step 1 :The problem is asking for the population of the herd of deer after 6 years. This can be calculated by substituting \(t=6\) into the given function \(A(t)=210(1.11)^{t}\).
Step 2 :Calculate the population: \(A(6)=210(1.11)^{6}\)
Step 3 :The calculated population is approximately 392.7870559538102
Step 4 :Round the population to the nearest whole number to get 393
Step 5 :Final Answer: The herd population after 6 years will be approximately \(\boxed{393}\).