Question

question
express sin g as a fraction in simplest terms.

Explanation:

Step1: Recall sine - ratio definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle G$, the side opposite to $\angle G$ is $IH$ and the hypotenuse is $IG$.

Step2: Identify side lengths

We know that $IH = 16$ and $IG=20$.

Step3: Calculate $\sin G$

$\sin G=\frac{IH}{IG}=\frac{16}{20}$.

Step4: Simplify the fraction

$\frac{16\div4}{20\div4}=\frac{4}{5}$.

Answer:

$\frac{4}{5}$