The magnitude and direction of two forces acting on an object are 50 pounds, S55°E, and 110 pounds, N68°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 label a diagram!

Put the 110 lb vector tail to tip of the 50 lb vector.

Determine angle between

Use Law of Cosines