Question

To the nearest hundredth, what is the value of x?

Answer 1

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 $33^{\circ}$, the side adjacent to angle = x

By trigonometry,

$\cos\theta=\frac{\text{side adjacent to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\cos(33^{\circ})=\frac{x}{45}\\\\\Rightarrow0.83867056794=\frac{x}{45}\\\\\Rightarrow x=45\times0.83867056794\\\\\Rightarrow x=37.7401755573\approx37.74\ units$

Answer 2

To solve for x use the cosine ratio.

cos 33 = x/45
45 (cos 33) = x
37.74 = x

Hope this helps :)