Question

review the graph. what is the approximate direction angle of the vector shown? 27° 63° 207° 243°

Explanation:

Step1: Identify vector quadrant

The vector lies in the third - quadrant.

Step2: Recall angle range for third - quadrant

Angles in the third - quadrant range from $180^{\circ}$ to $270^{\circ}$.

Step3: Eliminate wrong options

Options A ($27^{\circ}$) and B ($63^{\circ}$) are in the first - quadrant. Option D ($243^{\circ}$) is close but by observing the vector's orientation, $207^{\circ}$ is a better fit as it is closer to the negative x - axis.

Answer:

C. $207^{\circ}$