Answer:
1064 ft. 
Explanation:
Start by sketching out a figure to represent the situation, it should look something like this: 
(See picture)
(Figure definitely not drawn to scale)
The angle marked in red measures 4.3°, then we can use the law of sines to solve for the height of the Eiffel Tower (represented as the variable x): 

Rounding gives 1064 ft.