Question

find: sin b
answer
\frac{56}{65}
\frac{33}{65}
\frac{56}{33}
\frac{33}{56}

Explanation:

Step1: Recall the sine formula

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

Step2: Identify the sides relative to angle \(B\)

For angle \(B\), the opposite side is \(56\) and the hypotenuse is \(65\).

Step3: Calculate \(\sin B\)

Using the formula \(\sin B=\frac{\text{opposite}}{\text{hypotenuse}}\), we substitute the values: \(\sin B = \frac{56}{65}\).

Answer:

$\frac{56}{65}$