Question

find the tangent of ∠c. simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan(c) =

Explanation:

Step1: Recall tangent definition

For right $\triangle CED$, $\tan(C)=\frac{\text{opposite side to } \angle C}{\text{adjacent side to } \angle C}$

Step2: Identify sides

Opposite side to $\angle C$ is $CE=8$, adjacent side is $DE=15$.
$\tan(C)=\frac{15}{8}$

Answer:

$\frac{15}{8}$