Let's calculate the height of the tower using the information provided. We'll consider the motion of the first stone dropped from rest and the second stone thrown downward with an initial velocity of 15 m/s.
For the first stone dropped from rest, we can use the equation for free fall:
h₁ = (1/2) * g * t₁²
where h₁ is the height of the tower, g is the acceleration due to gravity (approximately 9.8 m/s²), and t₁ is the time it takes for the stone to reach the ground.
For the second stone thrown downward with an initial velocity of 15 m/s, we'll use the equation for uniformly accelerated motion:
h₂ = v₀₂ * t₂ + (1/2) * a * t₂²
where h₂ is the height of the tower, v₀₂ is the initial velocity of the second stone (-15 m/s since it's thrown downward), a is the acceleration due to gravity (approximately 9.8 m/s²), and t₂ is the time it takes for the second stone to reach the ground.
Since the stones reach the ground simultaneously, t₁ = t₂ = 1 second.
Let's calculate the heights:
h₁ = (1/2) * 9.8 m/s² * (1 s)² = 4.9 meters h₂ = (-15 m/s) * (1 s) + (1/2) * 9.8 m/s² * (1 s)² = -15.4 meters
The height of the tower is the sum of the heights of the stones:
h_total = h₁ + h₂ = 4.9 meters - 15.4 meters = -10.5 meters
Since the height cannot be negative, we conclude that there may be an error or inconsistency in the problem statement or calculations. Please double-check the given information or provide any additional details if available.