Answer:
[tex]011\degree[/tex]
Step-by-step explanation:
The direction of a vector is given by;
[tex]\theta=\tan^{-1}(\frac{y}{x})[/tex]
The given vector is <5,1>.
The x-component of this vector is 5 and the y-component is 1.
We substitute the values into the formula to obtain;
[tex]\theta=\tan^{-1}(\frac{1}{5})[/tex]
We use our scientific calculator to obtain;
[tex]\theta=11.3099[/tex]
Therefore the direction of the given angle is [tex]011\degree[/tex] to the nearest degree.