Question

Standing at 5 cm apart from a vertical pole of height 3 cm, Sudha observed a building at the back of the piller that tip of the pillar is in line with the top of the building. If the distance between pillar and building is 10 cm, estimate the height of the building. [Here height of Sudha is neglected]

Answer 1

$\text{Let the height of the building be h cm}$

$\text{Now,}△AEB̴\Delta ADC$

( By AA similarity )

$\therefore \frac{AE}{AD}=\frac{BE}{CD}$

$\Rightarrow \frac{5}{15}=\frac{3}{h}$

$\Rightarrow h=3\times 3=9\text{m}$

$\therefore \text{Height of the building is 9 cm}$

Hence, the answer is 9 cm.