Currently working my way through a maths problem, and I've hit a brick wall.
A circus acrobat is launched from a cannon that is aimed at 75 degrees above the ground. He leaves the barrel at a height of 4 meters, travelling at 6.5 meters per second. If the net must be placed at a height of 5.5 meters above the ground for safety, at what horizontal distance from the end of the cannon barrel should the centre of the net be placed so as to catch the acrobat exactly at that position? (Ignore air resistance, assume the acrobat's position can be approximated by a point and that g = 10 m/s^2. The centre of the net should be located ???? metres from the end of the cannon barrel.
Now, I know how to calculate the horizontal and vertical velocities, and I know the majority of the solving out for this, but I just cannot get the right answer. If anyone can show me the right way of solving this, I'd greatly appreciate it.