The value of x in the triangle given is 5.7
How to determine the value of x
Using the concept of Trigonometry ;
Cosine(θ) = Adjacent / Hypotenus
From the triangle given;
θ = 45°
Adjacent side to θ = x
Hypotenus = 8
Inputting our parameters into the formula;
Cos 45 = x / 8
cross multiply
x = 8 × (Cos(45))
x = 8 × 0.7071
x = 5.65
Hence, the value of x is 5.7 (to the nearest tenth)