Answer:
[tex]\boxed{\sf x = 11.7}[/tex]
[tex]\boxed{\sf b = 9.4}[/tex]
Sine Rule states:
[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf sin(51) = \dfrac{x}{15}[/tex]
[tex]\hookrightarrow \sf x = 15sin(51)[/tex]
[tex]\hookrightarrow \sf x = 11.657 \ \ \approx \quad 11.7[/tex]
Additional, cosine rule:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf cos(51) = \dfrac{b}{15}[/tex]
[tex]\hookrightarrow \sf b = 15cos(51)[/tex]
[tex]\hookrightarrow \sf b = 9.4398 \quad \approx \ \ 9.4[/tex]
