Answer:
[tex]x\approx 28.07\°[/tex]
Step-by-step explanation:
We can solve for x using the trigonometric ratio tangent.
[tex]\tan(x) = \dfrac{\text{opposite}}{\text{adjacent}}[/tex]
↓ plugging in the given side lengths
[tex]\tan(x) = \dfrac{8}{15}[/tex]
↓ taking the inverse tangent of both sides
[tex]x = \tan^{-1}\!\!\left(\dfrac{8}{15}\right)[/tex]
↓ evaluating using a calculator
[tex]\boxed{x\approx 28.07\°}[/tex]
