Answer: 67.80°
Step-by-step explanation:
A right angle triangle is formed. The height of the building represents the opposite side of the right angle triangle. The length of the shadow represents the adjacent side of the right angle triangle.
Since the person's eyes are 4 feet above ground level, the opposite side of the triangle would be
200 - 4 = 196 feet
To determine the angle of the person's eyes, θ to the top of the building, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan θ = 196/ 80 = 2.45
θ = Tan^-1(2.45)
θ = 67.80°