Question

find tan(α) in the triangle. choose 1 answer: a $\frac{7}{24}$ b $\frac{24}{7}$ c $\frac{24}{25}$ d $\frac{7}{25}$

Explanation:

Step1: Recall tangent - ratio formula

In a right - triangle, for an acute angle $\alpha$, $\tan(\alpha)=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

For angle $\alpha$ in the given right - triangle, the side opposite to $\alpha$ has length 24 and the side adjacent to $\alpha$ has length 7.

Step3: Calculate $\tan(\alpha)$

$\tan(\alpha)=\frac{24}{7}$.

Answer:

B. $\frac{24}{7}$