In what state was the first topographic map (relief map using contour lines) issued in the United States?

Yavapai County, Arizona in 1889 of 15 minutes.

Explanation:

With the creation of USGS in 1897 the use of topological maps became a trend. The best known topographic series was 7.5 minute quadrangle. It published first map of Mount marcy area in New york state in 1892 covering 30 minute latitude.