Question

The figure above shows a ramp that extends from level ground to the bed of a truck. What is the slope of the ramp?

• A. $\frac{1}{4}$
• B. $\frac{1}{3}$
• C. $\frac{4}{3}$
• D. $3$
• E. $4$

Answer 1

The correct option is A $\frac{1}{4}$

Let's assume the point where ramp touches ground be Origin $O(0,0)$ and the point where ramp touches the truck be

$A(\alpha ,\beta )$, Where $\alpha$ and $\beta$ are the position of point $A$ w.r.t origin $O$.

Hence we can see that $\Rightarrow \alpha =12ft$

$\Rightarrow \beta =3ft$

Slope of the ramp is $m=\frac{\beta }{\alpha }$

Slope of the ramp is $m=\frac{1}{4}$

Correct option is $A$