Answer
**10. Identify the city with each pair of coordinates.**
- **a. \( 0^{\circ}, 78^{\circ} \mathrm{W} \):** Quito, Ecuador
- **b. \( 51^{\circ} \mathrm{N}, 0^{\circ} \):** London, United Kingdom
- **c. \( 38^{\circ} \mathrm{S}, 145^{\circ} \mathrm{E} \):** Melbourne, Australia
**11. Estimate the coordinates for each city to the nearest degree.**
- **a. Calcutta, India (Kolkata):** \( 23^{\circ} \mathrm{N}, 88^{\circ} \mathrm{E} \)
- **b. Nairobi, Kenya:** \( 1^{\circ} \mathrm{S}, 37^{\circ} \mathrm{E} \)
- **c. New York, New York:** \( 41^{\circ} \mathrm{N}, 74^{\circ} \mathrm{W} \)
Solution
### **10. Identify the city with each pair of coordinates.**
**a. \( 0^{\circ}, 78^{\circ} \mathrm{W} \)**
- **City:** **Quito**, Ecuador
- **Explanation:** Quito is located very close to the equator (approximately \( 0.2^{\circ} \) S) and lies near \( 78.5^{\circ} \mathrm{W} \).
**b. \( 51^{\circ} \mathrm{N}, 0^{\circ} \)**
- **City:** **London**, United Kingdom
- **Explanation:** The Prime Meridian (\( 0^{\circ} \) longitude) passes through Greenwich, a district of London, which is situated around \( 51.5^{\circ} \mathrm{N} \).
**c. \( 38^{\circ} \mathrm{S}, 145^{\circ} \mathrm{E} \)**
- **City:** **Melbourne**, Australia
- **Explanation:** Melbourne is located near \( 37.8^{\circ} \mathrm{S} \), \( 144.9^{\circ} \mathrm{E} \), which closely matches the given coordinates.
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### **11. Estimate the coordinates for each city to the nearest degree.**
**a. Calcutta, India (Kolkata)**
- **Estimated Coordinates:** **\( 23^{\circ} \mathrm{N}, 88^{\circ} \mathrm{E} \)**
- **Explanation:** Kolkata is approximately at \( 22.57^{\circ} \mathrm{N} \), \( 88.36^{\circ} \mathrm{E} \), which rounds to \( 23^{\circ} \mathrm{N}, 88^{\circ} \mathrm{E} \).
**b. Nairobi, Kenya**
- **Estimated Coordinates:** **\( 1^{\circ} \mathrm{S}, 37^{\circ} \mathrm{E} \)**
- **Explanation:** Nairobi is located around \( 1.29^{\circ} \mathrm{S} \), \( 36.82^{\circ} \mathrm{E} \), which rounds to \( 1^{\circ} \mathrm{S}, 37^{\circ} \mathrm{E} \).
**c. New York, New York**
- **Estimated Coordinates:** **\( 41^{\circ} \mathrm{N}, 74^{\circ} \mathrm{W} \)**
- **Explanation:** New York City is approximately at \( 40.71^{\circ} \mathrm{N} \), \( 74.01^{\circ} \mathrm{W} \), which rounds to \( 41^{\circ} \mathrm{N}, 74^{\circ} \mathrm{W} \).
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