Find the value of x. round to the nearest tenth. the diagram is not drawn to scale.

12.0

Step-by-step 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

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