Find the measure of the indicated side or angle.

60°

Step-by-step 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°

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