Answer:
x = 286.01 inches
Explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation,
![\theta=4^(\circ)](https://img.qammunity.org/2022/formulas/mathematics/college/ckioxqkz50jbq584yvpsf4n0hoest1wrc3.png)
We need to find the value of x. It can be solved using trigonometry as follow :
![\tan\theta=(P)/(B)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ld8kjjtzpq184jeqiaadq6fbh31ba9hxe3.png)
Where
P is perpendicular and B is base
So,
![\tan(4)=(20)/(x)\\\\x=(20)/(\tan(4))\\\\x=286.01\ in](https://img.qammunity.org/2022/formulas/mathematics/college/vlqvu9pkcx8tnwapovvp1f2pxgnocmnwec.png)
So, the value of x is equal to 286.01 inches.