Answer:
[tex]x\approx 59.1^\circ[/tex]
Step-by-step explanation:
Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:
[tex]\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is 18 and the hypotenuse is 35. Substitute:
[tex]\displaystyle \cos x=\frac{18}{35}[/tex]
Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:
[tex]\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ[/tex]
