The Arkansas State Capitol Building is a smaller version of the U.S. Capitol Building. The U.S. Capitol is 752 feet long and 288 feet tall. The Arkansas State Capitol is 564 feet long. What is the height of the Arkansas State Capitol?

Show work

752/564 = 288/x

To find the height of the Arkansas State Capitol, we can set up a proportion using the information given about the U.S. Capitol Building.

The proportion will be:

U.S. Capitol height / U.S. Capitol length = Arkansas State Capitol height / Arkansas State Capitol length

Substituting the given values:

288 feet / 752 feet = Arkansas State Capitol height / 564 feet

Next, we solve for the Arkansas State Capitol height:

Cross multiply:

288 feet * 564 feet = 752 feet * Arkansas State Capitol height

162,432 = 752 feet * Arkansas State Capitol height

Now, isolate Arkansas State Capitol height by dividing both sides of the equation by 752 feet:

Arkansas State Capitol height = 162,432 / 752 feet

This simplifies to:

Arkansas State Capitol height ≈ 216 feet

Therefore, the height of the Arkansas State Capitol is approximately 216 feet.

288/752 = H/564

Solve for H.