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