Answer:
3 feet
Step-by-step explanation:
The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.
The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:
[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the diagram of the ramp, we can see that:
The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:
[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]
The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:
height = slope * base = (1/3) * 9 = 3 feet
If the base is extended by 3 feet, the tall would be 3 feet tall.
