Respuesta :

SOH CAH TOA is a mnemonic that can help you remember

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

In the given figure, you have the side Adjacent to the angle, and you have the Hypotenuse. Thus the Cosine relation is useful to you.

... cos(45°) = 12/c

Multiply by c/cos(45°) to get

... c = 12/cos(45°)

Use your calculator and/or your knowledge of the values of the trig functions to determine cos(45°) = 1/√2, so ...

... c = 12√2 ≈ 16.97