Question

which equation below is equivalent to \\(\sin c = \frac{h}{a}\\)?\\(\bigcirc\\ h = \frac{\sin c}{a}\\)\\(\bigcirc\\ a = h\sin c\\)\\(\bigcirc\\ a = \frac{\sin c}{h}\\)\\(\bigcirc\\ h = a\sin c\\)

Explanation:

Step1: Start with the given equation

We have the equation \(\sin C=\frac{h}{a}\).

Step2: Solve for \(h\)

To isolate \(h\), we can multiply both sides of the equation by \(a\). Using the property of equality, if \(\sin C=\frac{h}{a}\), then multiplying both sides by \(a\) gives \(a\times\sin C=a\times\frac{h}{a}\).
Simplifying the right - hand side, \(a\times\frac{h}{a}=h\) (since \(a
eq0\)), and the left - hand side is \(a\sin C\). So we get \(h = a\sin C\).

Answer:

\(h = a\sin C\) (the option: \(h = a\sin C\))