Questions: A hole in the ground is 3 feet deep. A pile of dirt next to the hole is 3 feet high. Which list best uses the values -3,0, and 3 to describe these elevations?
ground level: bottom of the hole: top of the dirt pile:
3 feet 0 feet -3 feet ground level: bottom of the hole: top of the dirt pile:
3 feet -3 feet 0 feet
0 feet 3 feet -3 feet
Transcript text: A hole in the ground is 3 feet deep. A pile of dirt next to the hole is 3 feet high. Which list best uses the values $-3,0$, and 3 to describe these elevations?
ground level: bottom of the hole: top of the dirt pile:
3 feet
0 feet -3 feet
ground level: bottom of the hole: top of the dirt pile:
3 feet -3 feet 0 feet
0 feet 3 feet -3 feet
Solution
Solution Steps
Step 1: Identify the reference point
The ground level is considered the reference point, so it is assigned the value \(0\).
Step 2: Determine the elevation of the bottom of the hole
The hole is 3 feet deep below the ground level. Therefore, the bottom of the hole is assigned the value \(-3\).
Step 3: Determine the elevation of the top of the dirt pile
The pile of dirt is 3 feet high above the ground level. Therefore, the top of the dirt pile is assigned the value \(3\).
Step 4: Match the values to the correct list
The correct list should be:
Ground level: \(0\) feet
Bottom of the hole: \(-3\) feet
Top of the dirt pile: \(3\) feet
This corresponds to the third option:
0 feet 3 feet -3 feet
Final Answer
The correct answer is the third option: \(0\) feet, \(3\) feet, \(-3\) feet.