Jack pulls east on a rope attached to a camel with a force o

Jack pulls east on a rope attached to a camel with a force of 80 lb. Jill pulls north on a rope attached to the same camel with a force of 60 lb. What is the magnitude and direction of the force on the camel? Assume the vectors lie in a horizontal plane. The magnitude of the force on the camel is lb. (Simplify your answer.) The direction of the force on the camel is approximately degree. (Round to the nearest hundredth of a degree as needed.)

Solution

Jack pulls with force (80,0) and Jill with force (0,60) In total we get (80,0)+(0,60)=(80,60) The magnitude is sqrt(80^2+60^2)=100 The direction is (80/100,60/100)=(0.8,0.6)