Math, asked by Ramcharan, 1 year ago

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

Ramcharan: ya...even i got it like that.....but it cant be a wrong question..coz its from an all india xam paper

Ramcharan: was writing that yesterday and if any question was wrong they wud hav told me...but no one did

bjahnavi: they ? who?

Ramcharan: teachers...who else!

bjahnavi: okkkkkkkkkkkkkkkk

bjahnavi: yet im posting it

bjahnavi: r u there?

Ramcharan: ok

TheRuhanikaDhawan: is it last year

bjahnavi: no prajwal. this is there in this year sample paper

Answers

Answered by bjahnavi

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.

Thank You......!!!!!!!!!
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Yours, Jahnavi.

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