An architect's electronic blueprint of a building has a scale of 1 inch equals 12 feet. what's the actual distance between the floor on the first floor and the floor on the 15th floor if the blueprint shows that the two floors are 14.375 inches apart? a. 171.6 feet b. 172.8 feet c. 172.44 feet d. 172.5 feet

Option D is correct choice.

Step-by-step explanation:

We are told that an architect's electronic blueprint of a building has a scale of 1 inch equals 12 feet.

To find actual distance between the floor on the first floor and the floor on the 15th floor we will multiply blueprint distance by 12.

Therefore, actual distance between the floor on the first floor and the floor on the 15th floor is 172.5 feet.

Option D. 172.5 feet.

Step-by-step explanation:

An architect's electronic blueprint of a building has a scale of 1 inch = 12 feet.

It is given that the distance between first floor and 15th floor = 14.375 inches.

We will make a set up of equal ratio.

x = 14.375 × 12

x = 172.5 feet

Option D. The two floors are 172.5 feet apart.

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)