To determine the height of the ramp with a mechanical advantage of 9 and a length of 36 meters, you can use the concept of mechanical advantage in simple machines. Mechanical advantage (MA) is the ratio of the length of the ramp to its height. In this case, the formula for mechanical advantage is:
[
MA = \frac{\text{Length of the ramp}}{\text{Height of the ramp}}
]
Given a mechanical advantage of 9 and a ramp length of 36 meters, you can rearrange the formula to solve for the height:
[
\text{Height} = \frac{\text{Length of the ramp}}{MA}
]
Plugging in the values:
[
\text{Height} = \frac{36 \text{ meters}}{9} = 4 \text{ meters}
]
Thus, the height of the ramp off the ground is 4 meters. This illustrates the relationship between the ramp's length and height through mechanical advantage, highlighting how a longer ramp allows for a greater height, but at a reduced effort required to move an object upward.