Answer:
[tex] \tan(C) = \frac {55}{48}[/tex]
Step-by-step explanation:
By Pythagoras Theorem:
[tex]BC = \sqrt{ {73}^{2} - {55}^{2} } \\ \\ = \sqrt{2304} \\ \\ = 48 \\ \\ \tan(C) = \frac {BD}{BC} \\ \\ \tan(C) = \frac {55}{48} \\ \\ [/tex]