8 (10 marks) (a) Harry walked along a path on a hillside. The path climbs on an angle of 7 with the horizontal for 300 metres, then it climbs more steeply at 11 with the horizontal for a further 400 metres. What is the increase in vertical height when Millie walks from the bottom of the path to the top? (6 marks) (b) A soccer player is 10 metres from one goal post and 12 metres from the other. The goal mouth is 7.32 metres wide. If the player shoots towards the goal along the ground, within what angle (to the nearest degree) must he kick the ball to have a chance of scoring? (4 marks)