To find the kinetic friction of the box, first calculate the normal force by considering the weight of the box and the vertical component of the pulling force. The weight of the box is 87 lb, and the pulling force has a vertical component of 60 lb * sin(15 degrees). The normal force is then the weight minus this vertical component. The kinetic friction can be calculated using the formula F_friction = coefficient of kinetic friction * normal force, where the coefficient is 0.35. This approach effectively determines the kinetic friction acting on the object.