CrazyEngineers Archive
Old, but evergreen and popular discussions on CrazyEngineers, presented to you in read-only mode.
@vipandeep • 21 Mar, 2011
There are two poles of equal height 15mts. One cable with length 16mts is hanging between that two poles. The height from center of the cable to earth is 7mts then what is the distance between that two poles.
@ISHAN TOPRE • 21 Mar, 2011 But what is the radius of circle of which this arc (cable) is part of?
I think the data is insufficient. 😀
But good question.
@vipandeep • 21 Mar, 2011 Nope. Data is complete. Try Harder
@ISHAN TOPRE • 21 Mar, 2011 The answer will be in terms of angle subtended by chord. The answer will be less than 16m.
The answer is 2*R*Sin(A/2)

Where R is the radius of arc subtended by cable( which is hanging)
A is the angle subtended by the Top points of two poles with center of circle. 😁
@vipandeep • 21 Mar, 2011 incorrect 😔
@ISHAN TOPRE • 21 Mar, 2011 Is the answer nearing 3.5 to 4m?
I got it by simple geometry. Though the curve is elliptical so I won't be able to tell the answer exactly.
@Hussanal Faroke • 22 Mar, 2011 it is less than 4m
@vipandeep • 22 Mar, 2011 yes, but you can calculate the exact value
@Ankita Katdare • 22 Mar, 2011 The answer is that the two poles are not apart. Let us suppose x is the distance between the two poles.

Now we have x/2 + (15-7) <= 16/2. This is not possible. So is the answer 0 meters?
@vipandeep • 22 Mar, 2011 Yes, you are correct. Answer is 0. the poles are not apart. The length of the cable is 16 m. so for its to hang 8m above the ground the poles have to be 0m apart.
@sachins612 • 22 Mar, 2011 Re:technical answ?

data is sufficient.we have to think technically!!!!
@Sachin Jain • 23 Mar, 2011
AbraKaDabra
The answer is that the two poles are not apart. Let us suppose x is the distance between the two poles.

Now we have x/2 + (15-7) <= 16/2. This is not possible. So is the answer 0 meters?
PLease explain how you get this inequality ?
@sadasibanayak • 23 Mar, 2011 Given poles are of 15 mtrs height each,and the rope is hanging above 7 mtr from ground. Rope is of length 16 metre.

Though it is hanging between two poles top, its height must be divided by 2.(We get quotient as 8)

if the distance of the rope from the ground
=Height of the pole-quotient then the distance between them is zero.
<Height of the pole-quotient then there is some distance between them
>Height of the pole-quotient then it is impossible.

Here the 1st case satisfies, i.e. 7=15-8 , so the distance between the two poles is zero.
@royfurious • 01 Apr, 2011 distance between two poles =0
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