length of each of its legs?9. A pole 81 m high broke at a point but di

1.	length of each of its legs?9. A pole 81 m high broke at a point but did not separate. Its top touched the ground 27 mfrom its base. At what height above the ground did the pole break?6 I TRIANGLE AND ITS PROPERTIES
Answer» Let at point C, the pole break down and touches the ground. Let BC = x, So AB = BC = 81-x Given base is 21m. So CD = 21 Now from Pythagoras Theorem BD2= CD2+ BC2 => (81-x)2= 212+ x2 => 6561 + x2- 162x = 729 + x2 => 6561 - 729 = 162x => 5832 = 162x => x = 5832/162 => x =36 So the pole break down at height 36 m from the ground.

length of each of its legs?9. A pole 81 m high broke at a point but did not separate. Its top touched the ground 27 mfrom its base. At what height above the ground did the pole break?6 I TRIANGLE AND ITS PROPERTIES

Answer»

Let at point C, the pole break down and touches the ground.

Let BC = x, So AB = BC = 81-x

Given base is 21m. So CD = 21

Now from Pythagoras Theorem

BD2= CD2+ BC2

=> (81-x)2= 212+ x2

=> 6561 + x2- 162x = 729 + x2

=> 6561 - 729 = 162x

=> 5832 = 162x

=> x = 5832/162

=> x =36

So the pole break down at height 36 m from the ground.