Question

1. tan c

b 16 a
12
20
c
a) 3/4 b) 4/5
c) 4/3 d) 3/5

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for $\angle C$

For $\angle C$, opposite side is $AB = 16$, adjacent side is $BC = 12$.

Step3: Calculate $\tan C$

$\tan C=\frac{AB}{BC}=\frac{16}{12}=\frac{4}{3}$.

Answer:

C) $\boldsymbol{\frac{4}{3}}$