Question

find the value of each trigonometric rat

1. tan c

c 14 b
50 48
a

Explanation:

Step1: Recall tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For $\angle C$, the opposite side to $\angle C$ is $AB = 48$ and the adjacent side is $BC=14$.

Step2: Calculate $\tan C$

$\tan C=\frac{AB}{BC}=\frac{48}{14}=\frac{24}{7}$

Answer:

$\frac{24}{7}$