Solve for x in the triangle. Round your answer to the nearest tenth.

Answer:
Step-by-step explanation:
Use sine.
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
We have:
[tex]opposite=x\\hypotenuse=16[/tex]
[tex]\sin40^o\approx0.6428[/tex] look at the table in the picture
Substitute:
[tex]\dfrac{x}{16}=0.6428[/tex] multiply both sides by 16
[tex]x=10.2848\to x\approx10.3[/tex]