Question

A pole 81 m in height broke but did not separate. It is broken at a height of 36 m. At what distance its top touched the ground from its base?

Answer 1

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.

Step-by-step explanation:

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