Question

If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb. Find the angle between the resultant and the larger force (nearest whole degree).
30°

52°

82°

Answer 1

The force of 10 pounds is made up of the horizontal components  of the  8 and 5 pound forces

8 cos 30 + 5 cos 52 =  10 

so your answer is 30 degrees