Answer:
297 degrees
Explanation:
Given the vector: w=4i-8j
The x-coordinate is positive while the y-coordinate is negative, this implies that w is in Quadrant IV.
First, we find α below:
[tex]\alpha=\arctan |\frac{y}{x}|=\arctan |-\frac{8}{4}|=\arctan |\frac{8}{4}|=63.43\degree[/tex]
Next, we find the direction angle below:
[tex]\begin{gathered} \text{For Quadrant IV: }\theta=360\degree-\alpha \\ =360\degree-63.43\degree \\ =296.57\degree \\ \approx297\degree \end{gathered}[/tex]
The angle that w makes with the positive x-axis (measured counterclockwise) is 297 degrees.
