Question

30 degree triangles.. photo provided

Answer 1

Lets x = short leg

30 60 90 triangle
Ratio of short leg: long leg: hypo = x : x√3 : 2x
Given long leg = 555 feet = 185√3 * √3
So
short leg = 185√3 ft
long leg = 555 ft
hypo = 370 ft
hypo is the longest's height

short leg: The distance from the man's feet to the base of the monument = 185√3 ft
hypo: The distance from the man's feet to the top of the monument = 370 ft

Answer:
A. The distance from the man's feet to the base of the monument is 185√3 feet 
D. The segment representing the monument's height is the longest segment  in the triangle

Answer 2

The answer is going to be the second one