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∠y as the reference angle,
YZ represents the adjacent side of the right angle triangle.
XZ represents the opposite side of the right angle triangle.
To determine m∠y, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin y = 3.5/4.6 = 0.7609
y = Sin^-1(0.7609)
y = 49.54° to the nearest hundredth.
