Answer: x= 37.74
Step-by-step explanation:
From the given figure, there is a right triangle in which the the side opposite to the right angle (Hypotenuse) = 45 units
Corresponding to angle [tex]33^{\circ}[/tex], the side adjacent to angle = x
By trigonometry,
[tex]\cos\theta=\frac{\text{side adjacent to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\cos(33^{\circ})=\frac{x}{45}\\\\\Rightarrow0.83867056794=\frac{x}{45}\\\\\Rightarrow x=45\times0.83867056794\\\\\Rightarrow x=37.7401755573\approx37.74\ units[/tex]
