Question

The distance between the two buildings is 2 km and the height of each building is 200 m. If on the blueprint, the distance is 150 cm, then, what is the height of each building?

• A. 10 cm
• B. 15 cm
• C. 8 cm
• D. 12 cm

Answer 1

The correct option is B 15 cm

Given,
2 km is equivalent to 150 cm.

We know that, if the measurements in blueprint increase, the actual measurement also increases.

$\text{So, Measurement in blueprint}\left(x\right)\propto \text{Actual measurement(y)}$
$\therefore \frac{x_1}{y_1}$ = $\frac{x_2}{y_2}$

Given,
$x_1=150cm=1.5m$
$y_1=2km=2000m$
$y_2=200m$
$\text{and,}{x}_2=\text{actual height of building}$

$\Rightarrow x_2=\frac{x_1\times y_2}{y_1}$

$\Rightarrow x_2=\frac{1.5\times 200}{2000}=0.15m=15cm$