Question

find the length of longest pole that can be placed in room 12 m long and 9m broad and 8m high
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Answer 1

Answer:

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Answer 2

To put longest pole in a room , it should be placed diagonally .

It should be placed along the diagonal (d) of room as seen in the picture below.

1

Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high?

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Kapil Yadav

Answered May 6, 2019

Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high?

To put longest pole in a room , it should be placed diagonally .

It should be placed along the diagonal (d) of room

Let a= 12 m , b= 8 m , c= 9 m.

As we know , for longest pole it should be placed diagonally along diagonal (d) so, its length should equals to the length of diagonal of the room.

Length of pole = Length of diagonal (d)

Now,

By applying Pythagoras theorem , in the right triangle given in figure whose base is d1 and hypotenuse is d and height is same as height of room which is given to us as c = 9 m.

d(square) = 9(square) + d1(square). [equation 1]

Now first we need to find d1 ,

Again apply Pythagoras theorem , on the right triangle whose base is a = 12 m ,hypotenuse is d1 and height is b = 8 m.

d1(square) = b(square) + a(square)

d1(square) = 8(square) + 12(square)

d1(square) = 64 + 144 + 208

Hence , d1 = sq. root(208) = 14.422 m

Now putting this value of d1 in [equation 1],

d(square) = 9(square) + 14.422(square)

d(square) = 81 + 208 = 289

Now, d = sq. root(289) = 17 m

Hence , the longest pole which can be placed in the room is of 17 m in length.

Hope It Helps

Thanks .