Answer:
[tex]Tan \space\ \theta =\frac{\boxed{12}}{\boxed5}}[/tex]
Step-by-step explanation:
The tangent (Tan) of an angle is the ratio of the opposite side and the adjacent side, so that:
[tex]\boxed{Tan\space\ \theta = \frac{opposite}{adjacent}}[/tex].
In this case, with respect to angle C:
• opposite = AB = 36 units
• adjacent = CB = 15 units.
Substituting the values into the equation:
[tex]Tan \space\ C = \frac{36}{15}[/tex]
= [tex]\bf \frac{12}{5}[/tex] (simplified)
