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Solution
To calculate the height of the tower, we can use the equations of motion for a projectile launched horizontally.
Given:
- Initial velocity (v₀) = 20 m/s
- Horizontal distance (d) = 60 m
- Acceleration due to gravity (g) = 10 m/s²
The height of the tower (h) can be calculated using the following equation:
h = (v₀²) / (2g)
Substituting the given values:
h = (20 m/s)² / (2 × 10 m/s²)
h = 400 m² / 20 m/s²
h = 20 m
Therefore, the height of the tower is 20 meters.