Final answer:
After converting the U.S. Capitol building's height of 96 yards to 288 feet, we determine that the Texas State Capitol could be 310 feet tall, as it's the only option greater than the U.S. Capitol's height.
Step-by-step explanation:
To determine which could be the height of the Texas State Capitol building, given that the U.S. Capitol building is 96 yards tall, we must convert 96 yards into feet because the options provided are in feet. Since 1 yard is equivalent to 3 feet, multiplying 96 yards by 3 gives us the height of the U.S. Capitol building in feet, which is 288 feet.
Now, we need to find out which option is greater than 288 feet, as the Texas State Capitol is said to be taller than the U.S. Capitol. Options A (310 feet) and B (288 feet) are close, but only option A is greater. Options C (3,452 feet) and D (3,420 feet) are incorrect because these values are exceedingly high for the height of a capitol building. Hence, the correct answer that could be the height of the Texas State Capitol is A: 310 feet.