Question

trigonometric ratios in right triang...
find tan(α) in the triangle.
choose 1 answer:

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan(\alpha)=\frac{\text{opposite}}{\text{adjacent}}\) (relative to the angle \(\alpha\)).

Step2: Identify the opposite and adjacent sides

For angle \(\alpha\), the opposite side to \(\alpha\) is \(BC = 24\) and the adjacent side to \(\alpha\) is \(AC=7\).

Step3: Calculate \(\tan(\alpha)\)

Using the formula \(\tan(\alpha)=\frac{\text{opposite}}{\text{adjacent}}\), we substitute the values: \(\tan(\alpha)=\frac{24}{7}\)

Answer:

\(\frac{24}{7}\)