Question

Mitchell made a scale model of the Empire State Building the building has an actual height of 381 meters Mitchell's model used a scale in which one centimeter represents 50 m what is the height in centimeters of Mitchell's model

Answer 1

7.62 cm

Explanation:

Mitchell made a scale model of the Empire State Building.

Actual height = 381 m

Scale = 1 cm to 50 m

Model height = x cm

Write a proportion:

`(381)/(x)=(50)/(1)`

Cross multiply:

`50x=381\\ \\x=(381)/(50)=(381\cdot 2)/(50\cdot 2)=(762)/(100)=7.62\ cm`