To the nearest 10th, find the measure of the missing side.

Answer:
[tex]x = 30.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this case, it is:
[tex]cos(36) = \frac{x}{38}[/tex]
Multiply both sides by 38
[tex]38 * cos(36) = \frac{x}{38}*38[/tex]
[tex]38 * cos(36) = x[/tex]
[tex]38 * 0.8090= x[/tex]
[tex]30.742= x[/tex]
[tex]x = 30.742[/tex]
[tex]x = 30.7[/tex] -- approximated