Starting raised beds near Cherry Tree

Hi there. We are in the process of turning part of our garden into a veg patch. There is a cherry tree right in the middle of the area, so we thought it we use approx. 4" deep raised beds, no closer than 30cm from the canopy of the tree then veg shouldn't have to compete too much for nutrients? I've attached a photo. Any advice welcome. Thanks, Jack

Thanks for the reply 

Great, don't mind a bit of extra work as long as it's not all in vain! I have some of last years compost left so will give the bed a good feed initially and then top up every autumn.