Answer:
[tex]x = 13.8[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:
[tex]cos(37) = \frac{11}{x}[/tex]
i.e.
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
Make x the subject
[tex]x = \frac{11}{cos(37)}[/tex]
[tex]x = \frac{11}{0.7986}[/tex]
[tex]x = 13.7741[/tex]
[tex]x = 13.8[/tex] -- approximated
