х
x=
Solve for x and round answer to the nearest tenth.
15

Answer:
[tex]\huge\boxed{x\approx11.1}[/tex]
Step-by-step explanation:
Use cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
We have:
[tex]adjacent=x\\\\hypotenuse=15\\\\\theta=42^o[/tex]
Substitute:
[tex]\cos42^o=\dfrac{x}{15}\\\\\cos42^o\approx.7431\\\\\dfrac{x}{15}=0.7431\qquad|\text{multiply both sides by 15}\\\\15\!\!\!\!\!\diagup\cdot\dfrac{x}{15\!\!\!\!\!\diagup}=15\cdot0.7431\\\\x=11.1465\\\\x\approx11.1[/tex]