Question

question
find the value of \\( \cos e \\) rounded to the nearest hundredth, if necessary.

answer attempt 1 out of 2
\\( \cos e= \\)

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For angle \(E\), the adjacent side to angle \(E\) is \(EF\) and the hypotenuse is \(EG\).

Step2: Substitute the values

Given \(EF = 6\) and \(EG=9\). Then \(\cos E=\frac{EF}{EG}\).
Substitute the values: \(\cos E=\frac{6}{9}=\frac{2}{3}\approx0.67\)

Answer:

\(0.67\)