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)

Responses

3.83 m
3.83 m

2.9 m
2.9 m

1.38 m
1.38 m

1.84 m

1 answer

To find the length of the inclined plane, we can use the formula for mechanical advantage (MA):

\[ \text{Mechanical Advantage} = \frac{\text{Length of the plane}}{\text{Vertical height}} \]

In this case, the mechanical advantage (MA) is 2.3, and the vertical height is 0.6 meters. We can rearrange the formula to find the length of the plane:

\[ \text{Length of the plane} = \text{Mechanical Advantage} \times \text{Vertical height} \]

Substituting the values:

\[ \text{Length of the plane} = 2.3 \times 0.6 \]

Calculating the length:

\[ \text{Length of the plane} = 1.38 \text{ meters} \]

Thus, the length of the inclined plane is 1.38 m.