Answer:
45°
Step-by-step explanation:
The diagram for this question has been attached to this response. Please check.
The angle of elevation is the angle between a horizontal line from a viewer and the line of sight to an object being viewed which is above the horizontal line.
From the diagram;
θ is the angle of elevation
x = height of the tree
y = length of the shadow of the tree = x
Therefore,
tanθ = [tex]\frac{x}{y}[/tex] [Remember that y = x? Then substitute into the equation]
tanθ = [tex]\frac{x}{x}[/tex]
tanθ = 1
θ = tan⁻¹(1)
θ = 45°
Therefore, the angle of elevation is 45°
