Answer:
12.0
Explanation:
The mnemonic SOH CAH TOA reminds you of the trig function relating the adjacent side of an angle in a right triangle to the hypotenuse:
Cos = Adjacent/Hypotenuse
Filling in the given values, we have ...
cos(24°) = 11/x
Multiplying this equation by x/cos(24°), we get ...
x = 11/cos(24°) ≈ 12.0