find magnitude and direction of the resultant force

Question

Two forces, with magnitudes of 120 pounds and 145 pounds, are acting on an object at angles of 50 degrees and 130 degrees, respectively, with the positive x-axis. Find the magnitude and direction (with the positive x-axis) of the resultant force.

Answer 1

Force F = -93.2x + 111.1y + 77.1x + 91.9y

= -16.1x + 203y Combining the x and y components of the forces

F = 203.6 at angle -85.46° F = √(16.1² + 203²) angle = ArcTan(203/(-16.1))