special right triangles

Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AY}{RY}[/tex] = [tex]\frac{AY}{48}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2AY = 48[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AY = 24[tex]\sqrt{3}[/tex] → D