Harold uses an inclined plane to move a washing machine from the sidewalk into his house. The vertical distance from the sidewalk to the house is 6 meters. If the plane has a mechanical advantage of 2.3, how long is the plane? (1 point)
Let's call the length of the inclined plane x.
The mechanical advantage of an inclined plane is calculated by dividing the length of the plane by the vertical height.
So, in this case, we have the equation:
2.3 = x/6
To solve for x, we can cross-multiply and divide:
2.3 * 6 = x
x = 13.8
Therefore, the length of the inclined plane is 13.8 meters.
To find the length of the inclined plane, we can use the formula for mechanical advantage (MA):
MA = length of plane / vertical distance
Given that the mechanical advantage is 2.3 and the vertical distance is 6 meters, we can rearrange the formula to solve for the length of the plane:
length of plane = MA * vertical distance
Plugging in the given values:
length of plane = 2.3 * 6
Now, we can calculate the length of the plane:
length of plane = 13.8 meters
Therefore, the length of the inclined plane is 13.8 meters.