Question

A pole of length 20 meters is scaled down to 2 cm. What is the actual length of a tower if its scaled length is 1 meter?

• A. 1000 meters
• B. 900 meters
• C. 1100 meters
• D. 1250 meters

Answer 1

The correct option is A 1000 meters

Given, 2 cm is the scaled length of a 20 meter long pole.

We know that if the scaled length increases, then the actual length will also increase.

$\text{Scaled length}\left(x\right)\propto \text{Actual length}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=2\text{cm}$
$y_1=20\text{meters}$
$x_2=1\text{meters}=100\text{cm}$
$\text{and}{y}_2=\text{actual length of the tower}$

$\Rightarrow \frac{2}{20}=\frac{100}{y_2}$

$\Rightarrow y_2=\frac{100\times 20}{2}=1000\text{meters}$

Hence, the actual length of the tower is 1000 meters.