Question

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

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify the adjacent side and hypotenuse for angle \(D\)

For angle \(D\), the adjacent side to angle \(D\) is \(CD = 2\), and the hypotenuse \(BD=5\).

Step3: Calculate \(\cos D\)

Using the formula \(\cos D=\frac{CD}{BD}\), substitute \(CD = 2\) and \(BD = 5\). So, \(\cos D=\frac{2}{5}=0.4\)

Answer:

\(0.4\)