Question

an 8 metre high pole is 9 m away from a building.If the distance between the top of the pole and the top of the building is 15 metre , find the height of the building.​

Answer 1

The answer is 20 metres.

the

distance between the top of pole and building is= 15m

and the horizontal distance between the pole and building is = 9m

according to Pythagoras theorum,

15² - 9²= x²

x= 12m

Then,

the height of the pole = 8m = y( part of the building)

Therefore,

x+y= height of building

x+y= 12+8

= 20 metres

Hope it helps

Answer 2

The height of the building is 20 cm

Step-by-step explanation:

here , AB = 8 m

CD = 8 cm

BC = 9 m

AD = 9 m

AE = 15 m

let ED = x cm

in triangle AED

using pythagoras theorem

AE² = AD² + ED²

15² = 9² +x²

225 - 81 = x²

144 = x²

x = 12 cm

now The height of the building = ED + CD  = 12 + 8 = 20 cm

hence , The height of the building is 20 cm

#Learn more:

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

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