Answer:
D.) 26
Step-by-step explanation:
Use the sine ratio because we are working with the side opposite the given angle and need to find the hypotenuse:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert values:
[tex]sin38=\frac{16}{x}[/tex]
Solve for x. Multiply both sides by x:
[tex]x(sin38)=x(\frac{16}{x})\\\\ x*sin38=16[/tex]
Isolate x. Divide both sides by sin 38:
[tex]\frac{x*sin38}{sin38}=\frac{16}{sin38}\\\\ x=\frac{16}{sin38}[/tex]
Insert this value into a calculator:
[tex]x=25.988[/tex]
Round to the nearest tenth:
[tex]x=26.0[/tex]
