Question

Standing at 5m apart from a vertical pole of height 3m.sudha observed a building at the back of the pillar that tip of the pillar is in line with top of the building.if the distance between pillar and building is 10m,estimate the height of the building​

Answer 1

$\huge{\mathtt{\underline{\underline{\pink{ANSWER}}}}}$

Given:

Standing at 5m apart from a vertical pole of height 3m.sudha observed a building at the back of the pillar that tip of the pillar is in line with top of the building.if the distance between pillar and building is 10m,estimate the height of the building

Solution:

Let the height of the building be h'm'

Now, △ADE ∼△ADC

$\green{\fbox{✯By AA similarity✯}}$

∴ $\sf{\frac{AE}{AC}}$ = $\sf{\frac{EB}{DC}}$

$\sf{\rightarrow{\frac{5}{15}}}$ = $\sf{\frac{3}{h}}$

$\sf{\rightarrow{h =}}$ $\sf{\frac{5×15}{3}}$

Hence, height of the building is 9m.

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