θ = cos^-1 ( 9/12 )

To find θ, we need to evaluate the inverse cosine of 9/12.

Recall that the inverse cosine function (arccosine) returns the angle whose cosine is the given value.

Using the unit circle or a calculator, we can find the value of θ.

Let's calculate it:

θ = cos^(-1)(9/12)
θ = cos^(-1)(3/4)
θ ≈ 0.7227 radians or 41.41 degrees

So, the value of θ is approximately 0.7227 radians or 41.41 degrees.