A man and a woman are sitting in a sleigh that is at rest on frictionless ice. The mass of the man is 80 kg, that of the woman is 60 kg, and that of the sleigh is 120 kg. The people suddenly see a poisonous spider on the floor of the sleigh and jump out. The man jumps to the left with a velocity of 5.0 m/s relative to the ground at 30° above the horizontal. The woman jumps to the right at 9.0 m/s relative to the ground at 37° above the horizontal. Required:
What is the velocity (magnitude and direction) of the sleigh after they have both jumped out?