Answer:
[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]
Step-by-step explanation:
We have a right angled triangle given.
At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.
Now, in the given triangle, from the view of ∠θ,
- Opposite side of the triangle = 8
- Hypotenuse = 10
Then,
[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
