Standing at $5 m$ apart from a vertical pole of height $3 m$ , 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 $10 m$ , estimate the height of the building. [Here height of Sudha is neglected]

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Solution

Let the height of the building be $^{'} h^{'} m .$
Now, $△ A D E \sim △ A D C$
( By AA similarity )
$∴ \frac{A E}{A C} = \frac{E B}{D C}$
$\Rightarrow \frac{5}{15} = \frac{3}{h}$
$\Rightarrow h = \frac{3 \times 15}{5} = 9 m$
$∴$ Height of the building is $9 m$
Hence, the answer is $9 m .$

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Standing at 5m apart from a vertical pole of height 3m, 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 10m, estimate the height of the building. [Here height of Sudha is neglected]

Let the height of the building be ′h′m.Now, △ADE∼△ADC( By AA similarity )∴AEAC=EBDC⇒515=3h⇒h=3×155=9m∴ Height of the building is 9mHence, the answer is 9m.

Let the height of the building be $^{'} h^{'} m .$
Now, $△ A D E \sim △ A D C$
( By AA similarity )
$∴ \frac{A E}{A C} = \frac{E B}{D C}$
$\Rightarrow \frac{5}{15} = \frac{3}{h}$
$\Rightarrow h = \frac{3 \times 15}{5} = 9 m$
$∴$ Height of the building is $9 m$
Hence, the answer is $9 m .$