To the nearest hundredth, what is the value of x?
A. 59.72
B. 56.35
C. 35.94
D. 27.08

Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle
sin53° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{45}[/tex]
Multiply both sides by 45
45 × sin53° = x, hence
x ≈ 35.94 → C