Find the magnitude and angle in degrees 0degree lessthanoreq

Find the magnitude and angle (in degrees, 0^degree lessthanorequalto theta lessthanorequalto 360^degree from standard position) of the vector . Round your answers to the nearest hundredth. Magnitude Angle^degree

Solution

Magnitude =sqrt((-4)²+2²) = 2 sqrt 5

tan theta=y/x =(2/-4)

Theta=tan^-1(2/-4) = 153.44°