Question

find the cosine of ∠a. write your answer in simplified, rationalized form. do not round. cos(a) =

Explanation:

Step1: Recall cosine - ratio in right - triangle

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

Step2: Identify adjacent and hypotenuse

For $\angle A$, the adjacent side to $\angle A$ is $7$ and the hypotenuse is $\sqrt{65}$.

Answer:

$\frac{7}{\sqrt{65}}=\frac{7\sqrt{65}}{65}$