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QUESTION IMAGE

find ( mangle e ). write your answer as an integer or as a decimal roun…

Question

find ( mangle e ).

write your answer as an integer or as a decimal rounded to the nearest tenth.

( mangle e=) 。

submit

Explanation:

Step1: Use trigonometric ratio

In right - triangle \(CDE\), \(\sin E=\frac{CD}{CE}\). Here \(CD = 4\) and \(CE=9\).

Step2: Calculate the angle

\(\sin E=\frac{4}{9}\). Then \(E=\sin^{- 1}(\frac{4}{9})\).
Using a calculator, \(\sin^{-1}(\frac{4}{9})\approx26.4^{\circ}\)

Answer:

\(26.4\)