Question

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

Explanation:

Step1: Recall the tangent formula

In a right - triangle, $\tan(A)=\frac{\text{opposite}}{\text{adjacent}}$. For angle $A$ in right - triangle $ABC$, the side opposite to angle $A$ is $BC$ and the side adjacent to angle $A$ is $AC$.

Step2: Identify the lengths of the opposite and adjacent sides

We are given that $BC = 24$ and $AC=10$.

Step3: Calculate the tangent value

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

Answer:

$\frac{12}{5}$