Given:
The x-component of the vector, x=7.2 m
The y-component of the vector, y=11 m
To find:
The direction of the vector.
Step-by-step explanation:
The direction of a vector is given by the formula,
![\theta=\tan^(-1)((y)/(x))](https://img.qammunity.org/2023/formulas/physics/college/5dqfrged0g7rjw8v6it4v2gom3eovy54jj.png)
On substituting the known values,
![\begin{gathered} \theta=\tan^(-1)((11)/(7.2)) \\ =57\degree \end{gathered}](https://img.qammunity.org/2023/formulas/physics/high-school/nsfz4bt1gfu1a7euzrocp0iz5x8djzjbfo.png)
Final answer:
The direction of the given vector is 57°