Answer:
y ≈ 9.24
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )
y × cos30° = 8 ( divide both sides by cos30° )
y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )