Answer:
[tex]x = 34.8^\circ[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we simply apply sin formula which is:
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
In this case, it is:
[tex]sin(x) = \frac{8}{14}[/tex]
[tex]sin(x) =0.5714[/tex]
Take arcsin of both sides
[tex]x = sin^{-1}(0.5714)[/tex]
[tex]x = 34.84791[/tex]
[tex]x = 34.8^\circ[/tex] --- approximated
