Question

question: find the value of cos p rounded to the nearest hundredth, if necessary.

Explanation:

Step1: Recall cosine - ratio definition

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

Step2: Identify side lengths

We are given that $PQ = 19$ and $PR=20$.

Step3: Calculate cosine value

Using the formula $\cos P=\frac{PQ}{PR}$, we substitute the values: $\cos P=\frac{19}{20}=0.95$.

Answer:

$0.95$