Question

practice with trigonometric ratios sp 26
fill in the blank. express your answer as a simplified ratio or whole number. use the \/\ key for a ratio.
$\tan(u) = \square$

Explanation:

Step1: Recall tangent definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$.

Step2: Identify sides for $\angle U$

Opposite side to $\angle U$: $12$, Adjacent side to $\angle U$: $5$.

Step3: Compute $\tan(U)$

$\tan(U) = \frac{12}{5}$

Answer:

$\frac{12}{5}$