A 25-kg child is placed on a swing with a chain length of 4.0 m. Her father pulls the swing back until it touches his chest, so that the chain is at an angle of 8.5 degrees to the vertical. He gives the swing a small push, so that it is traveling at 0.88 m/s. When the child reaches the apex of her motion, what is the new angle of the chain to the vertical? How far back should the parent step so that the swing would just avoid hitting him when it returns (ignore air resistance and assume that the child does no work)?