Answer: the angle of elevation is 27.9°
Step-by-step explanation:
Considering the situation, a right angle triangle is formed. The height, h of the building from the ground represents the opposite side of the right angle triangle.
The horizontal distance between the viewer and the building represents the adjacent side of the right angle triangle.
To determine the angle of elevation, θ we would apply
the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan θ = 45/85 = 0.529
θ = Tan^-1(0.529)
θ = 27.9°
