Workers place a stake into the ground. The height of the stake above ground is 10 feet. The stake goes 5 feet under the ground. What does 0 feet represent in this context? A It represents the middle of the stake. B It represents the top portion of the stake. Part B Which of the following TWO statements can be represented by -60 feet? the length of a room the length of a pencil the change in height of an airplane the distance a hiker is ebove ground the distance a diver is below the surface

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**Problem Analysis**

A stake is driven into the ground so that part of it is above ground and part below. We are given:
- The stake extends $$10$$ feet above the ground.
- The stake extends $$5$$ feet below the ground.

We interpret the height measurement on a vertical number line where positive values are above ground and negative values are below. Thus, the ground level is assigned the value $$0$$.

**Part A**

$$0$$ feet represents the ground level.  
- It is not the middle of the stake because the stake itself extends from $$-5$$ feet (bottom) to $$10$$ feet (top). The midpoint of these would be 
$$
\frac{-5+10}{2} = \frac{5}{2} = 2.5 \text{ feet}.
$$
- Nor is $$0$$ feet representing the top portion, since the top portion is at $$10$$ feet above ground.

**Answer for Part A:**  
$$0$$ feet represents the ground level.

**Part B**

We now determine which TWO statements can be represented by $$-60$$ feet.

On a number line where heights above the ground are positive and below the ground are negative:
- A length like that of a room or a pencil is measured as a positive distance.
- A change in height (altitude) may be negative if it represents a decrease in altitude.
- The distance a hiker is above ground is positive.
- The distance a diver is below the surface is represented with a negative number (if we choose ground level or the surface as zero).

Now, examine each choice:
1. **The length of a room:**  
   A room's length is a distance (a magnitude), so it is measured as a positive number. Not $$-60$$ feet.
2. **The length of a pencil:**  
   Like the room, this is a positive measurement. Not $$-60$$ feet.
3. **The change in height of an airplane:**  
   A change (decrease) in height can be negative. For example, if an airplane loses $$60$$ feet in altitude, the change is $$-60$$ feet.
4. **The distance a hiker is above ground:**  
   Being above ground yields a positive height.
5. **The distance a diver is below the surface:**  
   Being below the surface is interpreted as negative. Hence, a diver $$60$$ feet below the surface would be represented as $$-60$$ feet.

**Answer for Part B:**  
The two statements represented by $$-60$$ feet are:  
- The change in height of an airplane.  
- The distance a diver is below the surface.
**Part A:** 0 feet represents the ground level. **Part B:** - The change in height of an airplane. - The distance a diver is below the surface.

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