Question

find: sin a
the figure is not drawn to scale.
answer
\\(\frac{56}{65}\\)
\\(\frac{33}{56}\\)
\\(\frac{56}{33}\\)
\\(\frac{33}{65}\\)

Explanation:

Step1: Recall Sine Definition

In a right triangle, $\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle A$, identify opposite side and hypotenuse.
Opposite to $\angle A$: $56$; Hypotenuse: $65$.

Step2: Apply Sine Formula

$\sin A = \frac{\text{opposite to } A}{\text{hypotenuse}} = \frac{56}{65}$.

Answer:

$\frac{56}{65}$ (corresponding to the first option, e.g., A. $\frac{56}{65}$ if options are labeled, or the top - most box with $\frac{56}{65}$)