Answer:
The value of x° = 32.6
Step-by-step explanation:
To find the value of x, we have to apply the trigonometric formula;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cos Ф = adjacent / hypotenuse
tan Ф = opposite / adjacent
From the diagram above; adjacent is given to be 16 and hypotenuse is given to be 19, since what we have is adjacent and hypotenuse, then the best formula to use is cos Ф
cos Ф = adjacent / hypotenuse
Ф=x° adjacent=16 and hypotenuse =19
cos x° = 16/19
cos x° =0.8421
To get the value of x°, we will take [tex]cos^{-1}[/tex] of both-side
[tex]cos^{-1}[/tex] cos x° = [tex]cos^{-1}[/tex] (0.8421)
x° = 32.637
x° ≈ 32.6 to the nearest tenth
Therefore the value of x° = 32.6
