Question

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 model to the height of the actual sears tower.

Answer 1

Answer:

$\frac{1}{725}$

The sear tower is $725$ times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

so

$z=\frac{x}{y}$

we have

$x=24\ in$

$y=1,450\ ft$

substitute

$z=\frac{24}{1,450}\frac{in}{ft}$

simplify

$z=\frac{12}{725}\frac{in}{ft}$

Remember that

$1\ ft=12\ in$

so

$\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}$

Answer 2

The sear tower is 725 times higher than the sears tower model