Answer
$\theta=10.77$ radians
Work Step by Step
Step 1: The formula to be used here is $w=\frac{\theta}{t}$.
Step 2: After substituting the values of $w$ and $t$ provided by the question into this formula, the equation becomes $0.9067=\frac{\theta}{11.88}$
Step 3: Solving, $0.9067\times11.88=\frac{\theta}{11.88}\times11.88$
Step 4: Therefore, $\theta=10.77$ radians