Answer:
x = 286.01 inches
Step-by-step explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation, [tex]\theta=4^{\circ}[/tex]
We need to find the value of x. It can be solved using trigonometry as follow :
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]
So, the value of x is equal to 286.01 inches.