Question

The roof of a building is 8meter high. A rope is tied from the roof to a peg on the ground 6meter away from the wall. What is the minimum length of the rope???

Answer 1

Answer:

Check the attachment for diagram.

Length of roof = 8 m high ( AB )

Distance from roof to peg = 6 m ( BC

Length of rope = ? ( AC )

We know that, Roof is perpendicular to Ground. Hence we get a right angle triangle as shown in attachment.

Applying Pythagoras Theorem we get,

=> AB² + BC² = AC²

=> 6² + 8² = AC²

=> 36 + 64 = AC²

=> 100 = AC²

=> AC = √ 100

=> AC = 10 m

Hence the minimum length of the rope required is 10m.

Answer 2

HEY MATE HERE IS YOUR ANSWER

DIAGRAM IN ATTACHMENT
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HIEGHT OF ROOF OF BUILDING = 8m

DISTANCE FROM ROOF TO PEG = 6m

TO FIND

LENGHT OF ROOF ?

SOLUTION
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Applying Pythagoras Theorem

${ab}^{2} + {bc}^{2} = {ac}^{2} \\ {6}^{2} + {8}^{2} = {ac}^{2}$
$36 + 64 = {ac}^{2}$
$100 = {ac}^{2}$
$ac = 10$
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From the above solution and by using pythagoras theorem we get lenght 10 metres.

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HOPE IT WILL HELP YOU

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