Answer:
13.77
Explanation:
You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.
Cosine
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(37°) = 11/x
Solving for x, we find ...
x = 11/cos(37°) ≈ 13.77
The measure of side x is 13.77 units.