The question is an illustration of right-angled triangles
The value of x is (b) 4
To calculate the value of x, we make use of the following sine ratio
[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]
Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula
[tex]x = \sin(45) \times 4\sqrt 2[/tex]
Evaluate sin(45)
[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]
Cancel out the common factors
[tex]x = 4[/tex]
Hence, the value of x is (b) 4
Read more about right-angled triangles at:
https://brainly.com/question/16195823
