Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle,
WX represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
WY represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine m∠W, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos W = 5/7 = 0.7143
W = Cos^-1(0.7143)
W = 44.1° to the nearest tenth.