Question

find the cosine of ∠r. simplify your answer and write it as a proper fraction, improper fraction, or whole number. cos(r) =

Explanation:

Step1: Recall cosine definition in right - triangle

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle R$, the adjacent side to $\angle R$ is $SR$ and the hypotenuse is $RQ$.

Step2: Find the lengths of the sides

We are given that $SR = 45$ and $RQ=53$.

Step3: Calculate cosine of $\angle R$

$\cos(R)=\frac{SR}{RQ}=\frac{45}{53}$

Answer:

$\frac{45}{53}$