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?

Answer 1

Hint: From the given question we have been given a ramp that extends from level ground and we are asked to find the slope of the ramp. For solving this question we will assume that the point B as origin and next we will use the slope formula which is \[\Rightarrow m=\dfrac{y}{x}\] where y is y coordinate and x is the x-coordinate of the point A. so, we proceed the solution as follows.

Complete step by step solution:
Firstly, as we mentioned above let us assume that the point where ramp touches the ground that is the point B as origin \[(0,0)\]
The point where the ramp touches the truck is A.
Let us assume that the point A as \[(x,y)\]
Where x and y are the positions of the point A with respective to point B that is origin.
So, the point A will be \[(12,3)\] as x is the distance of the point A in horizontal direction and y is the distance of the point A in vertical direction from origin.
So, we know that the slope of the ramp will be as follows.
\[\Rightarrow m=\dfrac{y}{x}\]
\[\Rightarrow m=\dfrac{3}{12}\]
\[\Rightarrow m=\dfrac{1}{4}\]

Note: Students should be very careful in plotting the point and doing the calculations. Students should know the slope formula which is \[\Rightarrow m=\dfrac{y}{x}\] to solve the question. We must also know the basic mathematical operations like division to do the calculations.