Which of the following is the best estimate in metres of the height of a mountain?

Options

A. 1m
B. 100m
C. 1km
D. 1Mm

Answer

To determine the best estimate in meters of the height of a mountain, we need to analyze the options provided:

1. **Understanding the Options**:
- 1 meter (m)
- 100 meters (m)
- 1 kilometer (km)
- 1 megameter (Mm)

2. **Converting Units**:
- We know that 1 kilometer is equal to 1000 meters.
- Therefore, 1 km = 1000 m.
- 1 megameter is equal to 1,000,000 meters (1 Mm = 1,000,000 m).

3. **Evaluating Each Option**:
- **1 meter**: This is too small to represent the height of a mountain. Most mountains are significantly taller than 1 meter.
- **100 meters**: While this is a more reasonable height, many mountains exceed this height.
- **1 kilometer (1000 meters)**: This is a common height for many mountains. For example, many hills and smaller mountains can be around this height.
- **1 megameter (1,000,000 meters)**: This is excessively large for the height of a mountain. No mountain reaches this height.

4. **Conclusion**:
- The best estimate for the height of a mountain from the given options is **1 kilometer (1 km)**, as it falls within the typical height range of mountains.

Therefore, the correct answer is **1 kilometer (option 3)**.