Answer:
[tex]x[/tex] = 4.9 (1 dp)
Step-by-step explanation:
Use trig ratio [tex]sin(\theta)=\dfrac{O}{H}[/tex]
where [tex]\theta[/tex] is the angle, O is the side opposite the angle and H is the hypotenuse of a right triangle.
Given:
- [tex]\theta=55[/tex]
- O = [tex]y[/tex] = 4
- H = [tex]x[/tex]
[tex]\implies sin(55)=\dfrac{4}{x}[/tex]
[tex]\implies x=\dfrac{4}{sin(55)}[/tex]
[tex]\implies x = 4.9[/tex] (1 dp)
