Find the magnitudes of the horizontal and vertical component

Find the magnitudes of the horizontal and vertical components for the vector v with the given magnitude and given direction angle theta. |v| = 245, theta = 195 degree The magnitude of the horizontal component for the vector v is. (Do not round until the final answer. Then round to one decimal place as needed.) The magnitude of the vertical component for the vector v is. (Do not round until the final answer. Then round to one decimal place as needed.)

Solution

We have given |v|=245 and theta=195⁰

the magnitude of the horizontal component is |v_x|=||v|cos(theta)| =|245*cos(195⁰)| =|-236.6|=236.6

|v_x| =236.6

the magnitude of the vertical component is |v_y|=||v|sin(theta)| =|245*sin(195⁰)|=|-63.4|

|v_y|=63.4