find m∠e. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠e =

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle (DCE), (\tan E=\frac{DC}{CE}). Given (DC = 4) and (CE=5), so (\tan E=\frac{4}{5}=0.8).

Step2: Find the angle using inverse - tangent function

(E=\arctan(0.8)). Using a calculator, (E=\arctan(0.8)\approx38.7^{\circ}).

Answer:

(38.7)