Answer:
x = 13.8
Explanation:
Reference angle = [tex] \theta = 37 [/tex]
Hypotenuse length = x
Adjacent length = 11
To find the value of x, we would apply the following trigonometric ratio (CAH):
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Plug in the values
[tex] Cos(37) = \frac{11}{x} [/tex]
Cross multiply
[tex] x \times Cos(37) = 11 [/tex]
Divide both sides by Cos(37)
[tex] x = \frac{11}{Cos(37)} [/tex]
[tex] x = 13.8 [/tex] (nearest tenth)
