Question

find: \\( \sin a \\)
the figure is not drawn to scale

Explanation:

Step1: Recall the sine formula

$\sin A=\frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify the sides

In the right - triangle, the side opposite to angle $A$ is $BC = 56$, and the hypotenuse is $AC=65$

Step3: Calculate $\sin A$

$\sin A=\frac{56}{65}$

Answer:

$\frac{56}{65}$