Visiting New York

Hello all,

This is my first time in USA and i will be coming for work.
I took some leave like 10 days to travel around USA.

I will first come to New york then not planned.

What are your recommendations?

How many days will be enough for New York?

Any other places nearby to see for sure

First i will come to Detroit for work, then i will fly to new york on 11 June. Tıll 21st i will be in USA.

Thanks all