Question

A scale model of a building is 2.3-feet high. The ratio of the height of the model to the height of the building is 1:156. How tall is the building, in feet?

Answer 1

The height of the building = 588.8 feet

Step-by-step explanation:

Height of scale model of a building =2.3feet

The ratio of the height of the model to the height of the building = 1:156

let the height of the model = h

let the height of the building = H

the ratio = h/H = 1/156

h = 2.3, H = ?

`\begin{gathered} (2.3)/(H)=\text{ }(1)/(256) \\ \text{Cross multiply: } \\ H(1)\text{ = 2.3}*256 \end{gathered}`
`H\text{ = 588.8 feet}`

Hence, the height of the building = H = 588.8 feet