Question

The empire state building, 380 m high is observed by a man 3.567 km away. What is the angle between the ground and his line of sight to the top of the building?

Answer 1

The distance in meters from the building is 3567 m away. The Empire state building, the disance, and the line connecting the man and the top of the building make together the right triangle.
&
tan (α) = 380/3567 = 0.1065
hence
α = 6.1 degree.