Answer to Question #262231 in Physics for tali

Question

Determine the resultant of two vectors using the component method and illustrate. Use separate sheet of paper and scientific calculator.

Given: A= 15 Units, 25 Counterclockwise (+) x-axis

B = 30 Units, 40 Counterclockwise (-) x-axis

Answer 1

$$A_x=15\cos25°=13.6,\\ A_y=15\sin25°=6.34.\\ B_x=-30\cos40°=-23,\\ B_y=-30\sin40°=-19.\\ R_x=A_x+B_x,\\ R_y=A_y+B_y,\\ R=\sqrt{R_x^2+R_y^2}=15.8,\\\space\\ \theta=\arctan\frac{R_y}{R_x}=53°\text{ counterclockwise from (-x)}$$