Answer:
43.60°
Explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29
As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side
Cosine ∠E = 21/29
∠E = cos-1 0.724137931
∠E = 43.60° to the nearest hundredth