Question

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

Explanation:

Step1: Recall the cosine formula in a right - triangle

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

Step2: Identify the lengths of the sides

We are given that \(EF = 14\) and \(DF=20\).

Step3: Calculate \(\cos F\)

Using the formula \(\cos F=\frac{EF}{DF}\), substitute \(EF = 14\) and \(DF = 20\) into the formula. So, \(\cos F=\frac{14}{20}=0.7\)

Answer:

\(0.7\)