Answer: 20.8 meters
Step-by-step explanation: Based on the information provided, we can form a right triangle where the height of the shorter tower is one leg, the height of the taller tower is the other leg, and the distance between the towers is the hypotenuse. We can use the Pythagorean theorem to solve for the height of the taller tower:
a^2 + b^2 = c^2
where:
a = height of shorter tower = 12 meters
b = height of taller tower (what we want to find)
c = distance between towers = 24 meters
Plugging in the values:
12^2 + b^2 = 24^2
144 + b^2 = 576
b^2 = 432
b ≈ 20.8 meters
Therefore, the height of the taller tower is approximately 20.8 meters.