Question

identifying trig ratios (diagram), level 1
score: 1/3 penalty: none
question
express \\( \sin c \\) as a fraction in simplest terms.
answer attempt 1 out of 2
\\( \sin c= \\)

Explanation:

Step1: Recall the sine formula

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

Step2: Substitute the values

We know that \(AB = 10\) and \(AC=11\). Using the formula \(\sin C=\frac{AB}{AC}\).

Answer:

\(\frac{10}{11}\)