Answer:
x = 93.4° ( to 1 dec. place )
Step-by-step explanation:
Given
[tex]\sqrt{34}[/tex] cos(x - 46.7)° = 4 ( divide both sides by [tex]\sqrt{34}[/tex] )
cos(x - 46.7)° = [tex]\frac{4}{\sqrt{34} }[/tex], thus
x - 46.7 = [tex]cos^{-1}[/tex]( [tex]\frac{4}{\sqrt{34} }[/tex] ) ≈ 46.7° ( add 46.7° to both sides )
x ≈ 93.4°
