Answer:
Step-by-step explanation:
Triangle XYZ is a right angle triangle.
From the given right angle triangle,
XY represents the hypotenuse of the right angle triangle.
With m∠X as the reference angle,
XZ represents the adjacent side of the right angle triangle.
YZ represents the opposite side of the right angle triangle.
To determine m∠X, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan X = 13/8 = 1.625
∠X = Tan^-1(1.625)
∠X = 58.39° to the nearest hundredth.
