Question

find: sin a
answer
39/65 52/39 39/52 52/65

Explanation:

Step1: Recall the sine formula

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify the sides relative to angle $A$

For angle $A$, the opposite side is $BC = 52$ and the hypotenuse is $AB=65$.

Step3: Calculate $\sin A$

Using the formula $\sin A=\frac{\text{opposite}}{\text{hypotenuse}}$, we substitute the values: $\sin A=\frac{52}{65}$.

Answer:

$\frac{52}{65}$