find m∠e.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠e = □°
find m∠e.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠e = □°
Answer
Explanation:
Step1: Recall trigonometric ratio
We use the tangent - inverse function since in right - triangle (CDE) with right - angle at (D), (\tan E=\frac{CD}{DE}). Here, (CD = 7) and (DE = 8).
Step2: Calculate the measure of angle (E)
We know that (m\angle E=\arctan(\frac{CD}{DE})). Substituting (CD = 7) and (DE = 8), we get (m\angle E=\arctan(\frac{7}{8})). Using a calculator, (\arctan(\frac{7}{8})\approx41.2^{\circ})
Answer:
(41.2)