Answer:
x ≈ 32°
Step-by-step explanation:
Using the Sine rule in the triangle
[tex]\frac{17}{sin116}[/tex] = [tex]\frac{10}{sinx}[/tex] ( cross- multiply )
17 × sinx° = 10 × sin116° ( divide both sides by 17 )
sinx° = [tex]\frac{10sin116}{17}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{10sin116}{17}[/tex] ) ≈ 32° ( to the nearest degree )
