Answer:
x = 286.01 inches
Step-by-step explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation, ![\theta=4^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D4%5E%7B%5Ccirc%7D)
We need to find the value of x. It can be solved using trigonometry as follow :
![\tan\theta=\dfrac{P}{B}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7BP%7D%7BB%7D)
Where
P is perpendicular and B is base
So,
![\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in](https://tex.z-dn.net/?f=%5Ctan%284%29%3D%5Cdfrac%7B20%7D%7Bx%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B20%7D%7B%5Ctan%284%29%7D%5C%5C%5C%5Cx%3D286.01%5C%20in)
So, the value of x is equal to 286.01 inches.