Answer
$67.98$ degrees (1.19 radians)
Work Step by Step
Suppose $\theta = \cos^{-1} (\dfrac{3}{8})$
This gives: $\cos \theta=\dfrac{3}{8}$
Now, substitute the equation into a calculator.
Therefore, we have $ \cos^{-1} (\dfrac{3}{8})=67.98$ degrees (1.19 radians)