Question

I got -52.7 degrees but I want to make sure. thank you

Answer 1

The given vector is

`m=\langle16,-21\rangle`

The formula to find the direction angle is

`\theta=\tan ^(-1)|(y)/(x)|`

Replacing each coordinate, we have

`\theta=\tan ^(-1)|(-21)/(16)|=52.7`

Therefore, the direction angle is 52.7°, approximately.