Question

use a trigonometric ratio to solve for c. round to two decimal places as necessary.
draw
show your work here
c =
use a trigonometric ratio to solve for y. round to two decimal places as necessary.
draw

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, the cosine of an angle is defined as $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 38^{\circ}$, the adjacent side to the $38^{\circ}$ angle is 20, and the hypotenuse is $c$. So, $\cos38^{\circ}=\frac{20}{c}$.

Step2: Solve for $c$

We can rewrite the equation as $c=\frac{20}{\cos38^{\circ}}$. Since $\cos38^{\circ}\approx0.7880$, then $c=\frac{20}{0.7880}\approx25.48$.

Answer:

$25.48$