Answer:
8.2 cm
Step-by-step explanation:
[tex] \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm[/tex]