tbh I dont really know how drawing a diagram for this would help.
Ill try to explain the entire process but I can help more if youre specific with what you dont get
I think youre happy with destrc/constr interference at lambda*(2n+1)/2 and n*lambda respectively?
If so, think about about how much distance the wave has travelled AFTER it passes the aerial till it reaches the metal sheet -call this distance d.
when the wave is reflected it would have to travel this distance AGAIN to reach the aerial, so it would travel 2d.
This reflected wave superposes with the incident wave which has NOT PASSED the aerial and both waves meet at the aerial.
the path difference is the difference in how far each wave has travelled.
The reflected wave has travelled 2d more than the incident wave.
So its path difference is 2d.
So for constructive interference the sheet has to be ____ away ... and for destructive interference...