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.
$\tan(h) = square$

Explanation:

Step1: Recall tangent ratio definition

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

Step2: Identify sides for $\angle H$

Opposite side to $\angle H$ is $IJ = 24$, adjacent side is $JH = 70$

Step3: Substitute and simplify the ratio

$\tan(H) = \frac{24}{70} = \frac{12}{35}$

Answer:

$\frac{12}{35}$