Question

express sin g as a fraction in simplest terms.

answer attempt 1 out of 2
sin g =
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Explanation:

Step1: Find hypotenuse GI

$$GI = \sqrt{GH^2 + HI^2} = \sqrt{4^2 + 3^2} = \sqrt{16+9} = \sqrt{25} = 5$$

Step2: Apply sine definition

$\sin G = \frac{\text{opposite to } G}{\text{hypotenuse}} = \frac{HI}{GI}$

Step3: Substitute values

$\sin G = \frac{3}{5}$

Answer:

$\frac{3}{5}$