Answer:
3. 8 feet
Explanation:
To find the horizontal distance (x) in feet, we can use the following steps:
Step 1: Determine the vertical height that the box has been lifted.
The difference between the two points is:
9 ft - 3 ft = 6 ft.
Therefore, the box has been lifted 6 feet.
Step 2: Use the slope of the ramp to find the horizontal distance (x).
The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:
3/4 = 6/x
We can cross-multiply to get:
3x = 24
Dividing both sides by 3 gives us:
x = 8
Therefore, the horizontal distance (x) is 8 feet.