Question

find: sin b
the figure is not drawn to scale

Explanation:

Step1: Recall the definition of sine in a right - triangle

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For angle \(B\), the side opposite to angle \(B\) is \(72\), and the hypotenuse is \(75\).

Step2: Calculate \(\sin B\)

Using the formula \(\sin B=\frac{\text{opposite}}{\text{hypotenuse}}\), we substitute the values: \(\sin B = \frac{72}{75}\)

Answer:

\(\frac{72}{75}\)