Question

given: right triangle abc, what is the value of tan(a)?

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan(A)=\frac{\text{opposite}}{\text{adjacent}}\).

Step2: Identify the opposite and adjacent sides

For angle \(A\), the opposite side is \(BC = 24\) and the adjacent side is \(AC=10\).

Step3: Calculate \(\tan(A)\)

\(\tan(A)=\frac{BC}{AC}=\frac{24}{10}=\frac{12}{5}\)

Answer:

\(\frac{12}{5}\)