Answer:
pH = 8.77
Step-by-step explanation:
The reaction between Ammonium chloride and sodium hydroxide yield the following products depicted in the ICE table below:

Initial 0.12 M 0.03 M - - -
Change -0.03 M -0.03 M +0.03 M
Eq (0.12-0.03) (0.03-0.03) +0.03 M
Therefore,
![[NH_(4) Cl] = 0.12-0.03= 0.09 M\\](https://img.qammunity.org/2018/formulas/chemistry/high-school/mwyzmhcc97y03nv00ulb6efefhijw09iia.png)
![[NH_(3)] = 0.03 M](https://img.qammunity.org/2018/formulas/chemistry/high-school/szvg997bn74xxa3nsa0bi68tyqe4bfq3op.png)
This is a buffer with pKa = 9.25
Based on the Henderson-Hasselbalch equation:
![pH = pKa + log([NH3])/([NH4Cl])](https://img.qammunity.org/2018/formulas/chemistry/high-school/mqnnzvmzhvsopf1d0lfrx4bo4uc2n9kdpq.png)