The magnitude and direction of two forces acting on an object are 80 pounds, S63°E, and 50 pounds, N67°E, respectively.

Question

Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force. And find the direction angle in degrees.

Answer 1

Draw and lable a diagram!

Placce the 50 lb vector tail-to-tip of the 80 lb vector.

Use Law of Cosines to deteremine resultatn magnitude.

Use Law of Sines to determine new direction angle.