Answer
$36.87^{\circ}$
Work Step by Step
To obtain the angle $\theta$ between two non-zero vectors $a$ and $b$, we will use the following formula such as:
$ \theta =\cos^{-1} (\dfrac{\overrightarrow{a} \cdot \overrightarrow{ b} }{|a| |b|})$
We have: $\overrightarrow{a} \cdot \overrightarrow{ b}= (3)(0) +(4) (1) = 4$
and $|a|=\sqrt {(3)^2+(4)^2}=\sqrt {25}=5 ; |b|=\sqrt {(0)^2+(1)^2}=1$
Therefore, $ \theta =\cos^{-1} (\dfrac{4}{ 5})= 36.87^{\circ}$
