The Sears tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

Question

3 years ago

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1 answer:

miskamm [114] · Answer 1 · 2022-06-17T05:13:08+03:00

The ratio of the model's height to actual height of tower is 1:725

Step-by-step explanation:

Given

Actual height of Sears Tower = $H_a$ = 1450 feet

Height of Model = $H_m$ = 24 inches

We can divide the actual height by the model's height to find the scale

Let z be the ratio of the height of the model to the actual height

$z = \frac{H_m}{H_a}\\z = \frac{24\ inches}{1450\ feet}\\z = \frac{12\ inches}{725\ feet}$

The ratio should be in same unit.

We know that

1 ft = 12 inches

Then

$z = \frac{1}{725}\\z=> 1:725$

Hence,

The ratio of the model's height to actual height of tower is 1:725

Keywords: Ratios, models

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