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.