The set consists of all strings of the form $10^*$, i.e., a $1$ followed by zero or more $0$'s. Thus, you want to generate a $1$, change non-terminals and generate $0$'s.
The first production generates the word $1$, which is $10^0$. The second production generates a $1$ and then switches over to the non-terminal $Z$, which generates $0$'s. The third production generates the last $0$ of a string, while the fourth generates a $0$ and allows you to continue generating more $0$'s.
From this you should be able to sort out $V$ and $T$; altogether you're using four symbols, two of which are terminal, and two of which are non-terminal.