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

Answer:

7.62 cm

Step-by-step 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:

$\dfrac{381}{x}=\dfrac{50}{1}$

Cross multiply:

$50x=381\\ \\x=\dfrac{381}{50}=\dfrac{381\cdot 2}{50\cdot 2}=\dfrac{762}{100}=7.62\ cm$