Question

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

Explanation:

Step1: Recall tangent formula

In a right - triangle, $\tan(A)=\frac{\text{opposite}}{\text{adjacent}}$ with respect to angle $A$.

Step2: Identify opposite and adjacent sides

For angle $A$ in right - triangle $ABC$, the side opposite to angle $A$ is $BC = 24$ and the side adjacent to angle $A$ is $AC=10$.

Step3: Calculate $\tan(A)$

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

Answer:

$\frac{12}{5}$