Question

find the value of cos d rounded to the nearest hundredth, if necessary.

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). For angle \(D\), the adjacent side to angle \(D\) is \(CD = 2\) and the hypotenuse \(BD=5\).

Step2: Calculate \(\cos D\)

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

Answer:

\(0.4\)