Look at the hint: Law of Sines!
You need a calculator for this, but I'll help you through
angle B is 12 degrees and side b is 10 cm, so the ratio of sin B to b is \(\frac{\sin 12}{10}\).
This is 0.02079 (you need a calculator)
Can you now find side length a? angle A is 150 degrees, so do 0.02079=sin150/a and solve for a.
You are very welcome!
:P