Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Forces in direction x: Â fx1 = 100 * cos (50) = 64.28 Â fx2 = 50 * cos (160) = - 46.99 Â The resultant is: Â fx = fx1 + fx2 = 17.29
 Forces in direction y:  fy1 = 100 * sine (50) = 76.60  fy2 = 50 * sine (160) = 17.10  The resultant is:  fy = fy1 + fy2 = 93.70  The magnitude of the resulting force is:  f = root (fx ^ 2 + fy ^ 2)  f = root ((17.29) ^ 2 + (93.70) ^ 2)  f = 95.28  The angle is:  theta = atan (fy / fx)  theta = atan (93.70 / 17.29)  theta = 79.55 degrees  Answer:  The direction and magnitude of the resultant force are:  f = 95.28 pounds at theta = 79.55 degrees
