Respuesta :

Answer: x = 9.0

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is x

With m∠39 as the reference angle,

the adjacent side of the right angle triangle is 7

The unknown side represents the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio which is expressed as

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 39 = 7/x

x = 7/cos 39 = 7/0.777

x = 9.0 to the nearest tenth