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.
$sin(i) = square$

Explanation:

Step1: Recall sine definition for angle

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

Step2: Identify sides for angle $I$

Opposite side to $\angle I$ is $JH = 70$, hypotenuse is $IH = 74$.

Step3: Simplify the ratio

$\sin(I) = \frac{70}{74} = \frac{35}{37}$ (divide numerator and denominator by 2).

Answer:

$\frac{35}{37}$