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)

Question

Responses

1.84 m
1.84 m

0.35 m
0.35 m

1.5 m
1.5 m

3.1 m

Answer 1

To find the length of the inclined plane, you can use the relationship between the vertical height (h), the mechanical advantage (MA), and the length of the inclined plane (L). The formula for mechanical advantage regarding inclined planes is:

\[ MA = \frac{L}{h} \]

Where:

• \( MA \) is the mechanical advantage (2.3 in this case)
• \( L \) is the length of the inclined plane
• \( h \) is the vertical height (0.8 meters in this case)

We can rearrange the formula to solve for \( L \):

\[ L = MA \times h \]

Now, substituting the values provided:

\[ L = 2.3 \times 0.8 \]

Calculating this gives:

\[ L = 1.84 , \text{meters} \]

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