Answer :
The distance is 109.89 m.
Explanation :
Given that,
Height = 40 m
Angle = 20°
We need to calculate the base of the plateau
Using formula of angle
[tex]\tan\thata=\dfrac{h}{x}[/tex]
Where, h = height
x = base
[tex]\theta[/tex] = angle
Put the value into the formula
[tex]\tan20^{\circ}=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{tan20^{\circ}}[/tex]
[tex]x =109.89\ m[/tex]
Hence, The distance is 109.89 m.