Question

numerical response #1
use the following information to answer the next question.

1. the length of p, to the nearest tenth, is

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 50^{\circ}$, the adjacent side is $p$ and the hypotenuse is $19.6$ cm. So, $\cos(50^{\circ})=\frac{p}{19.6}$.

Step2: Solve for $p$

We can rewrite the formula as $p = 19.6\times\cos(50^{\circ})$. Using a calculator, $\cos(50^{\circ})\approx0.6428$. Then $p=19.6\times0.6428 = 12.6$ (rounded to the nearest tenth).

Answer:

$12.6$