Latest TCS Aptitude Question SOLUTION: Two vertical poles 2 meters and 8 meters high stand apart on a horizontal plane. The height in meters of the point of intersection of the lines joining the top of each pole to the

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Two vertical poles 2 meters and 8 meters high stand apart on a horizontal plane. The height in meters of the point of intersection of the lines joining the top of each pole to the bottom of the pole is.

a. 5.6
b. 1.8
c. 1.6
d. cannot be determined.

Asked In TCS Varsha (9 years ago)

Solved nandita shrivastava Read Solution (22)

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Read Solution (22) :

nandita shrivastava  (9 years ago) Best Solution

first of all draw the diagram correctly..the condition says that the point of intersection of the lines joining the top of each pole to the bottom of the pole...now draw the diagram..
step 1:draw pole AB of 2m horizontally and den draw pole CD of 8m at some dist apart from foot of AB

step 2: now join the foot of both the towers.

step 3: now join AD and BC,and name the point of intersection of these lines as .

step:4 now draw a perpendicular from E to line BD.and name that point F and say EF=x

step:5 now F divides both BD in two parts let it be P and Qi.e BF =p and FD = Q.

step:6 now observe triangle ABD& EFD,they are similar hence x/Q=2/P+Q
x= 2Q/P+Q......(1)

step:7 now observe triangle CBD and EBF,they are also similar hence x/P=8/P+Q
x=8P/P+Q......(2)

step:8 now equate (1) and (2)
we will get Q=4P now put Q=4p in equation (1)
i.e x/4P=2/5p
x= 8P/5P
x=1.6-(answer)

hope its helpful to you

Is this solution Helpfull? Yes (253) | No (5)  

Rahul Sharma  (9 years ago)

we have a formula p*q/(p+q)
so ans is 2*8/2+8= 16/10=1.6

Is this solution Helpfull? Yes (68) | No   

kishore  (9 years ago)

NANDITA i love you

Is this solution Helpfull? Yes (53) | No (34)  

SUMIT KUMAR  (9 years ago)

Ans-1.6m.
Let intersection pt is x.

base=a=a1+a2;tana1=8/a=x/a1;tana2=2/a=x/a2;
a=(x/tana1)+(x/tana2);a=xa/8+xa/2,
1=5x/8,
x=8/5=1.6m

Is this solution Helpfull? Yes (19) | No (4)  

Souradip Nath  (9 years ago)

let x is height of intersection.m & p is distance from 8m pole and 2m pole to intersection pt respectively.
From the property of similar triangles,
we equate the sides of the triangles
i.e.
8/x = (p+m)/p
and
2/x = p+m/m
Now let us reverse the 2 equations as:-
x/8 = p/(p+m)
and
x/2 = m/(p+m)
Now adding we get,
x/8 + x/2 = (p+m)/(p+m) = 1
Thus solving we get x = 1.6

Is this solution Helpfull? Yes (12) | No (1)  

Surit Datta  (9 years ago)

let x is height of intersection.m & p is distance from 8m pole and 2m pole to intersection pt respectively.
From the property of similar triangles,
we equate the sides of the triangles
i.e.
8/x = (p+m)/p
and
2/x = p+m/m
Now let us reverse the 2 equations as:-
x/8 = p/(p+m)
and
x/2 = m/(p+m)
Now adding we get,
x/8 + x/2 = (p+m)/(p+m) = 1
Thus solving we get x = 1.6

Is this solution Helpfull? Yes (3) | No   

Deepali Jain  (9 years ago)

p*q/p+q=1.6

Is this solution Helpfull? Yes (3) | No (2)  

SUMIT KUMAR  (9 years ago)

can't determine, because horizontal length is not given

Is this solution Helpfull? Yes (2) | No (8)  

shubha doke  (9 years ago)

can not be determined

Is this solution Helpfull? Yes (2) | No (7)  

RAHUL GAUTAM  (9 years ago)

1/2 + 1/8 = 1/x
x = 8/5 = 1.6

Is this solution Helpfull? Yes (2) | No   

Searcher  (9 years ago)

thank you nandita for elaborating the problem and thank you rahul for giving such a short and quick formula.

Is this solution Helpfull? Yes (1) | No   

AJAY KUMAR RAI  (9 years ago)

c . 1.6 apply pytogoras theorem eguate the base for each traingle

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Niveditha Ravichandran  (9 years ago)

@AJAY KUMAR RAI
can you pls elaborate

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abhe chandu  (9 years ago)

plz explain the ans briefly

Is this solution Helpfull? Yes | No (1)  

adityakumarsingh  (9 years ago)

let x is height of intersection.m & p is distance from 8m pole and 10m pole to intersection pt respectively.
from 8/x=(p+m)/m -(1)
10/x=(p+m)/p -(2)
add p+m frm equ 1 &2
1/x=(1/8+1/10)=>x=4.44

Is this solution Helpfull? Yes | No (7)  

spandanamekala  (9 years ago)

can anyonne plz pst the corct ans

Is this solution Helpfull? Yes | No (1)  

sapan kumar paul  (9 years ago)

d.cannot be determined

Is this solution Helpfull? Yes | No (7)  

Emanuel Abhishek Murmu  (9 years ago)

NANDITA SHRIVASTAVA has explained perfectly... good job..

Is this solution Helpfull? Yes | No (5)  

arjit  (9 years ago)

answer should come between 2 and 8 nandita

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logan`  (9 years ago)

correct ans is 1.6 i attend tcs openseasame

Is this solution Helpfull? Yes | No (2)  

ANUP KUMAR  (9 years ago)

height= (8+2)/8*2=1.6

Is this solution Helpfull? Yes | No (5)  

abh vas  (6 years ago)

hello kautilya

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