Question

find the value of \\( \cos e \\) rounded to the nearest hundredth, if necessary.
answer
attempt 1 out of 3
\\( \cos e = \\)

Explanation:

Step1: Find the hypotenuse

By Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 8\), \(b=15\).
\(EG=\sqrt{8^{2}+15^{2}}=\sqrt{64 + 225}=\sqrt{289}=17\)

Step2: Calculate \(\cos E\)

Using the cosine definition \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\)
\(\cos E=\frac{15}{17}\approx0.88\)

Answer:

\(0.88\)