Question

analyzing angle - side relationships
don

Explanation:

Step1: Recall the sine formula

In a right - triangle, for an acute angle \(A\), \(\sin(A)=\frac{\text{opposite}}{\text{hypotenuse}}\).

Step2: Identify the sides in the right - triangle with angle \(A\)

When we consider the right - triangle formed by the height \(h\) from \(C\) to \(AB\), for angle \(A\), the opposite side is \(h\) and the hypotenuse is \(b\).
So, \(\sin(A)=\frac{h}{b}\)

Answer:

\(\sin(A)=\frac{h}{b}\)