Answer:
60°
Explanation:
We'll begin by calculating EC. This can be obtained as follow:
Angle EAC = 39°
Hypothenus = EA = 3.7 m
Opposite = EC =?
Sine EAC = Opposite /Hypothenus
Sine 39 = EC / 3.7
Cross multiply
EC = 3.7 × Sine 39
EC = 2.3 m
Finally, we shall determine angle BEC. This can be obtained as follow:
Adjacent = EC = 2.3 m
Hypothenus = BC = 4.6 m
Angle BEC =?
Cos BEC = Adjacent / Hypothenus
Cos BEC = 2.3 / 4.6
Cos BEC = 0.5
Take the inverse of Cos
BEC = Cos¯¹ 0.5
BEC = 60°
Thus, angle BEC is 60°