# Two poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller poletwo poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller poletwo poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller poletwo poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller poletwo poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller poletwo poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller poletwo poles are 'a' metres apart and the height of one is double the other. if from the midpoint of the line joining their bases an observer finds the angles elevation of their tops as 30 and 60, find the height of the smaller pole

1
by Ramcharan
yet im posting it
r u there?
ok
is it last year
no prajwal. this is there in this year sample paper

2016-02-08T06:18:34+05:30
Let the AB (short pole) = a m
⇒ MJ (Tall pole) = 2a m
Midpoint of of BJ be E
⇒Let BE=JE=x m
⇒ angle AEB =30°
⇒ angle MEJ = 60°

In triangle ABE
Tan 30° = AB/BE
1/ √3 = a/x  [By cross multiplication]
⇒x=a√3 ----------------------1

In triangle MJE
Tan 60° = MJ/JE
√3 = 2a/x
x√3 = 2a  [From 1]
a√3(√3) = 2a
3a - 2a =0
a=0
∴ Height of the short pole is 0 m.

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