Question

triangle abc is shown. what is tan(∠abc)? choose 1 answer: a $\frac{5}{4}$ b $\frac{4}{5}$ c $\frac{5sqrt{41}}{41}$

Explanation:

Step1: Recall tangent formula

$\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify sides for $\angle ABC$

For $\angle ABC$, opposite is $10$, adjacent is $8$.

Step3: Calculate tangent

$\tan(\angle ABC)=\frac{10}{8}=\frac{5}{4}$

Answer:

A. $\frac{5}{4}$