Giving the following triangle, Solve for angle y

49.54°

51.89°

54.23°

57.12°

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.