Question

The tallest building in Bridgeport is 360 feet. The tallest building in Waterbury is 140% taller than the tallest building in Bridgeport. There are approximately 60 feet in 18.3 meters.Question What is the approximate height, in ,begin emphasis,meters,end emphasis,, of the tallest building in Waterbury? Round the answer to the nearest hundredth. Enter the answer in the box.

Answer 1

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.

1. 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: \[ \text{Height of Waterbury building} = 360 \text{ feet} + 504 \text{ feet} = 864 \text{ feet} \]

2. 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: \[ \text{Height in meters} = 864 \text{ feet} \times 0.305 \text{ meters/foot} \approx 263.52 \text{ meters} \]

3. 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.