To find the height of the tallest building in Waterbury, we first need to determine how tall it is compared to the tallest building in Bridgeport.
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Determine the height of the tallest building in Waterbury:
- The tallest building in Bridgeport is 360 feet.
- The tallest building in Waterbury is 140% taller than the one in Bridgeport.
To find how much taller it is in feet: \[ \text{Height increase} = 360 \text{ feet} \times 1.40 = 504 \text{ feet} \] Now, we add this height increase to the original height of the Bridgeport building: \[ \text{Height of Waterbury building} = 360 \text{ feet} + 504 \text{ feet} = 864 \text{ feet} \]
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Convert the height from feet to meters:
- We know that approximately 60 feet is equivalent to 18.3 meters.
- First, find how many meters are in 1 foot: \[ 1 \text{ foot} \approx \frac{18.3 \text{ meters}}{60 \text{ feet}} \approx 0.305 \text{ meters/foot} \] Now, convert 864 feet to meters: \[ \text{Height in meters} = 864 \text{ feet} \times 0.305 \text{ meters/foot} \approx 263.52 \text{ meters} \]
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Round the answer:
- To the nearest hundredth, the height of the tallest building in Waterbury is approximately \( 263.52 \) meters.
Therefore, the height of the tallest building in Waterbury is approximately 263.52 meters.
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