Answer: 38.2°
Step-by-step explanation:
[tex]\dfrac{\sin 27^o}{11}=\dfrac{\sin x}{15}\\\\\\\text{Multiply both sides by 15:}\\\\\dfrac{15\sin 27^o}{11}=\sin x\\\\\\\text{Apply arcsin to both sides:}\\\\\sin^{-1}\bigg(\dfrac{15\sin 27^o}{11}\bigg)=x\\\\\\\text{Use a calculator (make sure it is set to DEG and not rad):}\\\\38.2488=x\\\\\\\text{Round to the nearest tenth:}\\\\\large\boxed{x=38.2}[/tex]
