Answer:
[tex]\sin(H) = \dfrac{5}{\sqrt{74}}[/tex]
Step-by-step explanation:
The trigonometric ratio sine is defined as:
[tex]\sin(\theta)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]
Plugging in the given side lengths, we get:
[tex]\boxed{\sin(H) = \dfrac{5}{\sqrt{74}}}[/tex]
Note
We can also rationalize this fraction, if required:
[tex]\dfrac{5}{\sqrt{74}} \cdot \dfrac{\sqrt{74}}{\sqrt{74}} = \dfrac{5\sqrt{74}}{74}[/tex]
