Answer:
Step-by-step explanation:
Triangle DEF is a right angle triangle.
From the given right angle triangle,
DE represents the hypotenuse of the right angle triangle.
With m∠E as the reference angle,
EF represents the adjacent side of the right angle triangle.
DF represents the opposite side of the right angle triangle.
To determine m∠E, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan E = 8/5 = 1.6
E = Tan^-1(1.6)
W = 58.0° to the nearest tenth.
