You will probably peak at 5'8 at 18. Most guys outgrow their Dad but some don't. To grow taller plenty of protein, calcium, vitamin D and zinc all help. To reach your potential height you need adequate sleep (from 8-10 hours per night), adequate calories and a normal healthy diet. Plenty of protein from eggs, meat, poultry, sea food and dairy products helps as well as calcium from milk, cheese and other dairy products. You also need plenty of zinc from red meat, oysters, mussels, nuts and seeds and zinc fortified cereals such as Weetbix. Vitamin D3 via the Sun also helps. Girls usually stop growing at 15 and in most cases any further height growth from 15-21 is insignificant but there are exceptions such as late bloomers. Guys usually stop growing at 18 and in most cases any further height growth from 18-25 is insignificant but there are exceptions such as late bloomers. Under eating and under sleeping can, to some extent, stunt your height growth. Exercise does not help your height growth and smoking can actually reduce your potential height by a whole inch. You can see further tips in a web search for "how to grow taller".
