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 0.8 meters. If the plane has a mechanical advantage of 2.3, how long is the plane?(1 point)

Responses

1.84 m
1.84 m

3.1 m
3.1 m

1.5 m
1.5 m

0.35 m

1 answer

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

\[ \text{MA} = \frac{\text{Length of the incline}}{\text{Height}} \]

In this case, we know:

  • Height (vertical distance) = 0.8 meters
  • Mechanical advantage (MA) = 2.3

We can rearrange the formula to solve for the length of the incline:

\[ \text{Length of the incline} = \text{MA} \times \text{Height} \]

Now, substitute the values:

\[ \text{Length of the incline} = 2.3 \times 0.8 \]

Calculating that gives:

\[ \text{Length of the incline} = 1.84 , \text{m} \]

So, the length of the inclined plane is 1.84 m.