Find value of x. Round answer to nearest tenth.

Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 10.
With m∠x as the reference angle,
the adjacent side of the right angle triangle is 6
the opposite side of the right angle triangle is the unknown side.
To determine x, we would apply
the Cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cosx = 6/10 = 0.6
x = Cos^-1(0.6)
x = 53.1° to the nearest tenth.