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.
$sin(a) = square$

Explanation:

Step1: Recall sine definition

For angle $A$, $\sin(A) = \frac{\text{Opposite side}}{\text{Hypotenuse}}$

Step2: Identify sides for $\sin(A)$

Opposite side to $A$ is $BC=15$, hypotenuse is $AB=39$.
$\sin(A) = \frac{15}{39}$

Step3: Simplify the fraction

Divide numerator and denominator by 3: $\frac{15\div3}{39\div3} = \frac{5}{13}$

Answer:

$\frac{5}{13}$