Given:
The figure of a right angle triangle.
To find:
The value of x to the nearest hundredth.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using the above trigonometric ratio for the given triangle, we get
[tex]\cos 46^\circ=\dfrac{x}{8}[/tex]
[tex]0.6947=\dfrac{x}{8}[/tex]
[tex]0.6947\times 8=x[/tex]
[tex]5.5576=x[/tex]
Approximate the value to the nearest hundredth.
[tex]x\approx 5.56[/tex]
Therefore, the value of x is 5.56 units.