Noa helped his family prepare a holiday meal in their apartment kitchen, 29.3 m above ground level. Then he took a portion down to his neighbor, who lives 22 m above ground level in the same building. Answer 2 questions about Noa. 1. What was Noa's change in height from his apartment to the neighbor's apartment? m 2. What is the vertical distance between Noa's apartment and the neighbor's apartment? m

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Let's analyze Noa's movement between the two apartments:

1. **Change in Height:**
   
   - **Initial Height (Apartment):** 29.3 meters above ground.
   - **Final Height (Neighbor's Apartment):** 22 meters above ground.
   
   The change in height is calculated as:
   
   $$
   \text{Change in Height} = \text{Final Height} - \text{Initial Height} = 22\, \text{m} - 29.3\, \text{m} = -7.3\, \text{m}
   $$
   
   **Interpretation:** A negative change indicates a decrease in height. So, Noa descended **7.3 meters** from his apartment to the neighbor's apartment.

2. **Vertical Distance Between the Apartments:**
   
   The vertical distance is the absolute difference in height between the two points, regardless of direction:
   
   $$
   \text{Vertical Distance} = |\text{Final Height} - \text{Initial Height}| = |22\, \text{m} - 29.3\, \text{m}| = 7.3\, \text{m}
   $$
   
   **Interpretation:** The vertical distance between Noa's apartment and the neighbor's apartment is **7.3 meters**.

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**Answers:**

1. **Change in height:** –7.3 meters
2. **Vertical distance between the apartments:** 7.3 meters
1. Noa descended 7.3 meters from his apartment to the neighbor's apartment. 2. The vertical distance between Noa's apartment and the neighbor's apartment is 7.3 meters.

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