Answer :

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.